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Journal articles on the topic 'Special metrics'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Dupont, Christian, and Elizabeth Yakel. "“What’s So Special about Special Collections?” Or, Assessing the Value Special Collections Bring to Academic Libraries." Evidence Based Library and Information Practice 8, no. 2 (2013): 9. http://dx.doi.org/10.18438/b8690q.

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Objective – The objective of this study was to examine and call attention to the current deficiency in standardized performance measures and usage metrics suited to assessing the value and impact of special collections and archives and their contributions to the mission of academic research libraries and to suggest possible approaches to overcoming the deficiency.  Methods – The authors reviewed attempts over the past dozen years by the Association of Research Libraries (ARL) and the Association of College and Research Libraries (ACRL) to highlight the unique types of value that sp

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2

Zhao, Wen Jing, Yan Yan, Li Nan Shi та Bo Chao Qu. "The Projectively Flat Conditions of One Special Class (α, β)-Metrics". Advanced Materials Research 756-759 (вересень 2013): 2528–32. http://dx.doi.org/10.4028/www.scientific.net/amr.756-759.2528.

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The-metric is an important class of Finsler metrics including Randers metric as the simplest class, and many people research the Randers metrics. In this paper, we study a new class of Finsler metrics in the form ,Whereis a Riemannian metric, is a 1-form. Bengling Li had introduced the projective flat of the-Metric F. We find another method which is about flag curvature to prove the projective flat conditions of this kind of-metric.

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3

CHENG, XINYUE, ZHONGMIN SHEN, and YUSHENG ZHOU. "ON LOCALLY DUALLY FLAT FINSLER METRICS." International Journal of Mathematics 21, no. 11 (2010): 1531–43. http://dx.doi.org/10.1142/s0129167x10006616.

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Locally dually flat Finsler metrics arise from information geometry. Such metrics have special geometric properties. In this paper, we characterize locally dually flat and projectively flat Finsler metrics and study a special class of Finsler metrics called Randers metrics which are expressed as the sum of a Riemannian metric and a one-form. We find some equations that characterize locally dually flat Randers metrics and classify those with isotropic S-curvature.

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4

Witt, Frederik. "Special metrics and triality." Advances in Mathematics 219, no. 6 (2008): 1972–2005. http://dx.doi.org/10.1016/j.aim.2008.07.017.

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5

Esra Sengelen, Sevim, and Zhongmin Shen. "Randers Metrics of Constant Scalar Curvature." Canadian Mathematical Bulletin 56, no. 3 (2013): 615–20. http://dx.doi.org/10.4153/cmb-2011-187-1.

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Abstract.Randers metrics are a special class of Finsler metrics. Every Randers metric can be expressed in terms of a Riemannian metric and a vector field via Zermelo navigation. In this paper, we show that a Randers metric has constant scalar curvature if the Riemannian metric has constant scalar curvature and the vector field is homothetic

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6

Cheeger, J. "Degeneration of Einstein metrics and metrics with special holonomy." Surveys in Differential Geometry 8, no. 1 (2003): 29–73. http://dx.doi.org/10.4310/sdg.2003.v8.n1.a2.

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7

Ülgen, Semail, Esra Sengelen Sevim, and İrma Hacinliyan. "On Einstein Finsler metrics." International Journal of Mathematics 32, no. 09 (2021): 2150063. http://dx.doi.org/10.1142/s0129167x21500634.

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In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.

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8

Kruk, M., J. Lewandowski, and A. Szereszewski. "Kundt's Metrics with Special Properties." Acta Physica Polonica B Proceedings Supplement 10, no. 2 (2017): 379. http://dx.doi.org/10.5506/aphyspolbsupp.10.379.

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9

Kushwaha, Ramdayal Singh, та Gauree Shanker. "On the ℒ-duality of a Finsler space with exponential metric αeβ/α". Acta Universitatis Sapientiae, Mathematica 10, № 1 (2018): 167–77. http://dx.doi.org/10.2478/ausm-2018-0014.

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Abstract The (α, β)-metrics are the most studied Finsler metrics in Finsler geometry with Randers, Kropina and Matsumoto metrics being the most explored metrics in modern Finsler geometry. The ℒ-dual of Randers, Kropina and Matsumoto space have been introduced in [3, 4, 5], also in recent the ℒ-dual of a Finsler space with special (α, β)-metric and generalized Matsumoto spaces have been introduced in [16, 17]. In this paper, we find the ℒ-dual of a Finsler space with an exponential metric αeβ/α, where α is Riemannian metric and β is a non-zero one form.

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10

SEVIM, ESRA SENGELEN, ZHONGMIN SHEN, and LILI ZHAO. "ON A CLASS OF RICCI-FLAT DOUGLAS METRICS." International Journal of Mathematics 23, no. 06 (2012): 1250046. http://dx.doi.org/10.1142/s0129167x12500462.

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In this paper, we study a special class of Finsler metrics which are defined by a Riemannian metric and a 1-form on a manifold. We find equations that characterize Ricci-flat Douglas metrics among this class.

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11

Hinton, Leanne. "Song Metrics." Annual Meeting of the Berkeley Linguistics Society 16, no. 2 (1990): 51. http://dx.doi.org/10.3765/bls.v16i2.1678.

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12

Hattori, Yasunao. "On special metrics characterizing topological properties." Fundamenta Mathematicae 126, no. 2 (1986): 133–45. http://dx.doi.org/10.4064/fm-126-2-133-145.

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13

Egidi, Nadaniela. "Special metrics on compact complex manifolds." Differential Geometry and its Applications 14, no. 3 (2001): 217–34. http://dx.doi.org/10.1016/s0926-2245(01)00041-9.

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14

Chen, Xinyue, and Zhongmin Shen. "Finsler metrics with special curvature properties." Periodica Mathematica Hungarica 48, no. 1/2 (2004): 33–47. http://dx.doi.org/10.1023/b:mahu.0000038964.96496.32.

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15

Natorf, W., and J. Tafel. "Asymptotic flatness and algebraically special metrics." Classical and Quantum Gravity 21, no. 23 (2004): 5397–407. http://dx.doi.org/10.1088/0264-9381/21/23/007.

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16

Fino, Anna, and Luigi Vezzoni. "Special Hermitian metrics on compact solvmanifolds." Journal of Geometry and Physics 91 (May 2015): 40–53. http://dx.doi.org/10.1016/j.geomphys.2014.12.010.

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17

Enrietti, Nicola, and Anna Fino. "Special Hermitian metrics and Lie groups." Differential Geometry and its Applications 29 (August 2011): S211—S219. http://dx.doi.org/10.1016/j.difgeo.2011.04.043.

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18

PODESTÀ, FABIO. "HOMOGENEOUS HERMITIAN MANIFOLDS AND SPECIAL METRICS." Transformation Groups 23, no. 4 (2017): 1129–47. http://dx.doi.org/10.1007/s00031-017-9450-9.

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19

Weiß, Hartmut, and Frederik Witt. "A heat flow for special metrics." Advances in Mathematics 231, no. 6 (2012): 3288–322. http://dx.doi.org/10.1016/j.aim.2012.08.007.

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20

Hitchin, Nigel. "Integrable systems and Special Kähler metrics." EMS Surveys in Mathematical Sciences 8, no. 1 (2021): 163–78. http://dx.doi.org/10.4171/emss/46.

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21

Fu, Wen Qing, Sheng Gang Li, Harish Garg, Heng Liu, Ahmed Mostafa Khalil, and Jingjing Zhao. "An Easy-to-Understand Method to Construct Desired Distance-Like Measures." Complexity 2021 (July 8, 2021): 1–15. http://dx.doi.org/10.1155/2021/5571546.

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Metrics and their weaker forms are used to measure the difference between two data (or other things). There are many metrics that are available but not desired by a practitioner. This paper recommends in a plausible reasoning manner an easy-to-understand method to construct desired distance-like measures: to fuse easy-to-obtain (or easy to be coined by practitioners) pseudo-semi-metrics, pseudo-metrics, or metrics by making full use of well-known t-norms, t-conorms, aggregation operators, and similar operators (easy to be coined by practitioners). The simple reason to do this is that data for

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22

Conti, Diego, and Federico A. Rossi. "Ricci-flat and Einstein pseudoriemannian nilmanifolds." Complex Manifolds 6, no. 1 (2019): 170–93. http://dx.doi.org/10.1515/coma-2019-0010.

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AbstractThis is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group. Classifications of special classes of Ricci-˛at metrics on nilpotent Lie groups of dimension [eight.tf] are obtained. Some related open questions are presented.

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23

Mishra, P. D. "Projectively Flat Finsler Space With Special (, )-Metrics." IOSR Journal of Mathematics 7, no. 6 (2013): 83–89. http://dx.doi.org/10.9790/5728-0768389.

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24

Mitra, S. K., J. Pearson, and J. Caviedes. "Special issue on objective video quality metrics." Signal Processing: Image Communication 19, no. 2 (2004): 99–100. http://dx.doi.org/10.1016/j.image.2003.09.002.

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25

Derdzinski, Andrzej. "Special biconformal changes of Kähler surface metrics." Monatshefte für Mathematik 167, no. 3-4 (2011): 431–48. http://dx.doi.org/10.1007/s00605-011-0345-x.

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26

Mo, Xiaohuan. "Finsler metrics with special Riemannian curvature properties." Differential Geometry and its Applications 48 (October 2016): 61–71. http://dx.doi.org/10.1016/j.difgeo.2016.06.003.

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27

Gutev, Valentin G. "Selections and hyperspace topologies via special metrics." Topology and its Applications 70, no. 2-3 (1996): 147–53. http://dx.doi.org/10.1016/0166-8641(95)00092-5.

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28

Pişcoran, Laurian-Ioan, та Vishnu Mishra. "The variational problem in lagrange spaces endowed with a special type of (α,β)-metrics". Filomat 32, № 2 (2018): 643–52. http://dx.doi.org/10.2298/fil1802643p.

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In this paper, we will continue our investigation on the new recently introduced (?,?)-metric F = ? + a?2+?2/? in [12]; where ? is a Riemannian metric; ? is an 1-form and a ? (1/4,+?) is a real positive scalar. We will investigate the variational problem in Lagrange spaces endowed with this type of metrics. Also, we will study the dually local flatness for this type of metric and we will proof that this kind of metric can be reduced to a locally Minkowskian metric. Finally, we will introduce the 2-Killing equation in Finsler spaces.

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29

Fuster-Parra, Pilar, Javier Martín, Jordi Recasens, and Óscar Valero. "T-Equivalences: The Metric Behavior Revisited." Mathematics 8, no. 4 (2020): 495. http://dx.doi.org/10.3390/math8040495.

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Since the notion of T-equivalence, where T is a t-norm, was introduced as a fuzzy generalization of the notion of crisp equivalence relation, many researchers have worked in the study of the metric behavior of such fuzzy relations. Concretely, a few techniques to induce metrics from T-equivalences, and vice versa, have been developed. In several fields of computer science and artificial intelligence, a generalization of pseudo-metric, known as partial pseudo-metrics, have shown to be useful. Recently, Bukatin, Kopperman and Matthews have stated that the notion of partial pseudo-metric and a ty

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30

Mokhov, Oleg I. "Compatible flat metrics." Journal of Applied Mathematics 2, no. 7 (2002): 337–70. http://dx.doi.org/10.1155/s1110757x02203149.

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We solve the problem of description of nonsingular pairs of compatible flat metrics for the generalN-component case. The integrable nonlinear partial differential equations describing all nonsingular pairs of compatible flat metrics (or, in other words, nonsingular flat pencils of metrics) are found and integrated. The integrating of these equations is based on reducing to a special nonlinear differential reduction of the Lamé equations and using the Zakharov method of differential reductions in the dressing method (a version of the inverse scattering method).

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31

Gibbons, G. W., H. Lü, C. N. Pope, and K. S. Stelle. "Supersymmetric domain walls from metrics of special holonomy." Nuclear Physics B 623, no. 1-2 (2002): 3–46. http://dx.doi.org/10.1016/s0550-3213(01)00640-x.

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32

Verbitsky, Misha. "Rational curves and special metrics on twistor spaces." Geometry & Topology 18, no. 2 (2014): 897–909. http://dx.doi.org/10.2140/gt.2014.18.897.

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33

Liu, Huaifu, and Xiaohuan Mo. "Examples of Finsler metrics with special curvature properties." Mathematische Nachrichten 288, no. 13 (2015): 1527–37. http://dx.doi.org/10.1002/mana.201400124.

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34

Ghanam, R., and G. Thompson. "Two special metrics with R 14 -type holonomy." Classical and Quantum Gravity 18, no. 11 (2001): 2007–14. http://dx.doi.org/10.1088/0264-9381/18/11/302.

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35

Temponi, Cecilia, and Valérie Botta-Genoulaz. "Special issue on sustainability trends: metrics and approaches." Supply Chain Forum: An International Journal 18, no. 2 (2017): 47–48. http://dx.doi.org/10.1080/16258312.2017.1350359.

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36

Lam, Eddie T. C. "Introduction to the Special Issue of PE Metrics." Measurement in Physical Education and Exercise Science 15, no. 2 (2011): 85–86. http://dx.doi.org/10.1080/1091367x.2011.580692.

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37

Krantz, Thomas. "Kaluza–Klein-type metrics with special Lorentzian holonomy." Journal of Geometry and Physics 60, no. 1 (2010): 74–80. http://dx.doi.org/10.1016/j.geomphys.2009.09.009.

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38

Alekseevsky, D. V., V. Cortés, M. Dyckmanns, and T. Mohaupt. "Quaternionic Kähler metrics associated with special Kähler manifolds." Journal of Geometry and Physics 92 (June 2015): 271–87. http://dx.doi.org/10.1016/j.geomphys.2014.12.012.

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39

Istrati, Nicolina. "Existence criteria for special locally conformally Kähler metrics." Annali di Matematica Pura ed Applicata (1923 -) 198, no. 2 (2018): 335–53. http://dx.doi.org/10.1007/s10231-018-0776-2.

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40

XU, BINBIN. "Incompleteness of the pressure metric on the Teichmüller space of a bordered surface." Ergodic Theory and Dynamical Systems 39, no. 06 (2017): 1710–28. http://dx.doi.org/10.1017/etds.2017.73.

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We prove that the pressure metric on the Teichmüller space of a bordered surface is incomplete and that a completion can be given by the moduli space of metrics on a graph (dual to a special ideal triangulation of the same bordered surface) equipped with pressure metric. In contrast to the closed surface case, we obtain as a corollary that the pressure metric is not bi-Lipschitz to the Weil–Petersson metric.

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41

REZAEI, BAHMAN, та MEHDI RAFIE-RAD. "ON THE PROJECTIVE ALGEBRA OF SOME (α, β)-METRICS OF ISOTROPIC S-CURVATURE". International Journal of Geometric Methods in Modern Physics 10, № 10 (2013): 1350048. http://dx.doi.org/10.1142/s0219887813500485.

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In this paper, we study projective algebra, p(M, F), of special (α, β)-metrics. The projective algebra of a Finsler space is a finite-dimensional Lie algebra with respect to the usual Lie bracket. We characterize p(M, F) of Matsumoto and square metrics of isotropic S-curvature of dimension n ≥ 3 as a certain Lie sub-algebra of the Killing algebra k(M, α). We also show that F has a maximum projective symmetry if and only if F either is a Riemannian metric of constant sectional curvature or locally Minkowskian.

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42

FOX, DANIEL J. F. "RICCI FLOWS ON SURFACES RELATED TO THE EINSTEIN WEYL AND ABELIAN VORTEX EQUATIONS." Glasgow Mathematical Journal 56, no. 3 (2014): 569–99. http://dx.doi.org/10.1017/s0017089514000044.

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AbstractThere are described equations for a pair comprising a Riemannian metric and a Killing field on a surface that contain as special cases the Einstein Weyl equations (in the sense of D. Calderbank) and a real version of a special case of the Abelian vortex equations, and it is shown that the property that a metric solve these equations is preserved by the Ricci flow. The equations are solved explicitly, and among the metrics obtained are all steady gradient Ricci solitons (e.g. the cigar soliton) and the sausage metric; there are found other examples of eternal, ancient, and immortal Ricc

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43

Javaloyes, Miguel A., and Miguel Sánchez. "Finsler metrics and relativistic spacetimes." International Journal of Geometric Methods in Modern Physics 11, no. 09 (2014): 1460032. http://dx.doi.org/10.1142/s0219887814600329.

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Recent links between Finsler Geometry and the geometry of spacetimes are briefly revisited, and prospective ideas and results are explained. Special attention is paid to geometric problems with a direct motivation in Relativity and other parts of Physics.

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44

Aksoy, Asuman Güven, Monairah Al-Ansari та Qidi Peng. "Representation theorems of ℝ-trees and Brownian motions indexed by ℝ-trees". Asian-European Journal of Mathematics 12, № 04 (2019): 1950067. http://dx.doi.org/10.1142/s1793557119500670.

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We provide a new representation of an [Formula: see text]-tree by using a special set of metric rays. We have captured the four-point condition from these metric rays and shown an equivalence between the [Formula: see text]-trees with radial and river metrics, and these sets of metric rays. In stochastic analysis, these graphical representation theorems are of particular interest in identifying Brownian motions indexed by [Formula: see text]-trees.

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45

M, Ramesha, та Narasimhamurthy S. K. "Projective Flat Finsler Space with Special (𝜶, 𝜷)-Metrics". IOSR Journal of Mathematics 12, № 04 (2016): 114–19. http://dx.doi.org/10.9790/5728-120405114119.

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46

Lee, Il-Yong, та Myung-Han Lee. "ON WEAKLY-BERWALD SPACES OF SPECIAL (α, β)-METRICS". Bulletin of the Korean Mathematical Society 43, № 2 (2006): 425–41. http://dx.doi.org/10.4134/bkms.2006.43.2.425.

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47

Chihara, Ryohei. "G2-metrics arising from non-integrable special Lagrangian fibrations." Complex Manifolds 6, no. 1 (2019): 348–65. http://dx.doi.org/10.1515/coma-2019-0019.

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AbstractWe study special Lagrangian fibrations of SU(3)-manifolds, not necessarily torsion-free. In the case where the fiber is a unimodular Lie group G, we decompose such SU(3)-structures into triples of solder 1-forms, connection 1-forms and equivariant 3 × 3 positive-definite symmetric matrix-valued functions on principal G-bundles over 3-manifolds. As applications, we describe regular parts of G2-manifolds that admit Lagrangian-type 3-dimensional group actions by constrained dynamical systems on the spaces of the triples in the cases of G = T3 and SO(3).

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48

Liu, Huaifu, Xiaohuan Mo, and Hongzhen Zhang. "Finsler warped product metrics with special Riemannian curvature properties." Science China Mathematics 63, no. 7 (2019): 1391–408. http://dx.doi.org/10.1007/s11425-018-9422-4.

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49

Tayebi, Akbar, and Behzad Najafi. "On m-th root metrics with special curvature properties." Comptes Rendus Mathematique 349, no. 11-12 (2011): 691–93. http://dx.doi.org/10.1016/j.crma.2011.06.004.

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50

Cheng, Xinyue, and Yanfang Tian. "Locally dually flat Finsler metrics with special curvature properties." Differential Geometry and its Applications 29 (August 2011): S98—S106. http://dx.doi.org/10.1016/j.difgeo.2011.04.014.

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