Academic literature on the topic 'Lagrangian families'

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Journal articles on the topic "Lagrangian families"

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Golovko, Roman. "On topologically distinct infinite families of exact Lagrangian fillings." Archivum Mathematicum, no. 5 (2022): 287–93. http://dx.doi.org/10.5817/am2022-5-287.

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Paoletti, Roberto. "On families of Lagrangian submanifolds." manuscripta mathematica 107, no. 2 (2002): 145–50. http://dx.doi.org/10.1007/s002290100229.

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Chen, Bang-Yen. "CLASSIFICATION OF LAGRANGIAN SURFACES OF CONSTANT CURVATURE IN THE COMPLEX EUCLIDEAN PLANE." Proceedings of the Edinburgh Mathematical Society 48, no. 2 (2005): 337–64. http://dx.doi.org/10.1017/s0013091504000203.

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AbstractOne of the most fundamental problems in the study of Lagrangian submanifolds from a Riemannian geometric point of view is the classification of Lagrangian immersions of real-space forms into complex-space forms. In this article, we solve this problem for the most basic case; namely, we classify Lagrangian surfaces of constant curvature in the complex Euclidean plane $\mathbb{C}^2$. Our main result states that there exist 19 families of Lagrangian surfaces of constant curvature in $\mathbb{C}^2$. Twelve of the 19 families are obtained via Legendre curves. Conversely, Lagrangian surfaces
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Matessi, Diego. "Some families of special Lagrangian tori." Mathematische Annalen 325, no. 2 (2003): 211–28. http://dx.doi.org/10.1007/s00208-002-0360-2.

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Doria, R. M., and S. Machado. "Yang-Mills Families." JOURNAL OF ADVANCES IN PHYSICS 13, no. 4 (2017): 4927–55. http://dx.doi.org/10.24297/jap.v13i6.6173.

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The Yang-Mills theory structure is based on group theory. It rules the symmetry relationship where the number of potential fields transforming under a same group must be equal to the number of group generators. It defines the group valued expression from where the corresponding non-abelian symmetry properties are derived.
 Nevertheless based on different origins as Kaluza-Klein, fibre bundles, supersymmetry, s-model , BRST and anti-BRST algorithm, counting degrees of freedom leads to a Yang-Mills extension under the existence of different potential fields rotating under a same single grou
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Consul, P. C. "Some bivariate families of lagrangian probability distributions." Communications in Statistics - Theory and Methods 23, no. 10 (1994): 2895–906. http://dx.doi.org/10.1080/03610929408831423.

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Kamenova, Ljudmila, and Misha Verbitsky. "Families of Lagrangian fibrations on hyperkähler manifolds." Advances in Mathematics 260 (August 2014): 401–13. http://dx.doi.org/10.1016/j.aim.2013.10.033.

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Cariñena, José F., and José Fernández-Núñez. "Some Applications of Affine in Velocities Lagrangians in Two-Dimensional Systems." Symmetry 14, no. 12 (2022): 2520. http://dx.doi.org/10.3390/sym14122520.

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The two-dimensional inverse problem for first-order systems is analysed and a method to construct an affine Lagrangian for such systems is developed. The determination of such Lagrangians is based on the theory of the Jacobi multiplier for the system of differential equations. We illustrate our analysis with several examples of families of forces that are relevant in mechanics, on one side, and of some relevant biological systems, on the other.
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Janeczko, Stanisław. "Generating families for images of Lagrangian submanifolds and open swallowtails." Mathematical Proceedings of the Cambridge Philosophical Society 100, no. 1 (1986): 91–107. http://dx.doi.org/10.1017/s0305004100065889.

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SummaryIn this paper we study the symplectic relations appearing as the generalized cotangent bundle liftings of smooth stable mappings. Using this class of symplectic relations the classification theorem for generic (pre) images of lagrangian submanifolds is proved. The normal forms for the respective classified puilbacks and pushforwards are provided and the connections between the singularity types of symplectic relation, mapped lagrangian submanifold and singular image, are established. The notion of special symplectic triplet is introduced and the generic local models of such triplets are
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JOYCE, DOMINIC. "RULED SPECIAL LAGRANGIAN 3-FOLDS IN [Copf ]3." Proceedings of the London Mathematical Society 85, no. 1 (2002): 233–56. http://dx.doi.org/10.1112/s0024611502013485.

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This is the fifth in a series of papers constructing explicit examples of special Lagrangian submanifolds in ${\mathbb C}^m$. A submanifold of ${\mathbb C}^m$ is ruled if it is fibred by a family of real straight lines in ${\mathbb C}^m$. This paper studies ruled special Lagrangian 3-folds in ${\mathbb C}^3$, giving both general theory and families of examples. Our results are related to previous work of Harvey and Lawson, Borisenko, and Bryant. Special Lagrangian cones in ${\mathbb C}^3$ are automatically ruled, and each ruled special Lagrangian 3-fold is asymptotic to a unique special Lagran
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Dissertations / Theses on the topic "Lagrangian families"

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Marelli, Giovanni. "A Fourier Transform for Sheaves on Lagrangian Families of Real Tori." Doctoral thesis, SISSA, 2001. http://hdl.handle.net/20.500.11767/4242.

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Bai, Chenyu. "Hodge Theory, Algebraic Cycles of Hyper-Kähler Manifolds." Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS081.

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Cette thèse est consacrée à l'étude des cycles algébriques dans les variétés hyper-Kähleriennes projectives et les variétés de Calabi-Yau strictes. Elle contribue à la compréhension des conjectures de Beauville et de Voisin sur les anneaux de Chow des variétés hyper-kählériennes projectives et des variétés de Calabi-Yau strictes. Elle étudie également certains invariants birationnels des variétés hyper-kählériennes projectives.La première partie de la thèse, parue dans Mathematische Zeitschrift [C. Bai, On Abel-Jacobi maps of Lagrangian families, Math. Z. 304, 34 (2023)] et présentée dans le c
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Baptistella, Pedro Henrique. "Estudo comparativo entre elementos finitos isoparametricos das familias serendipity e lagrangiana para a analise de estabilidade de placas e cascas." [s.n.], 2001. http://repositorio.unicamp.br/jspui/handle/REPOSIP/263288.

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Orientador : Loir Afonso Moreira<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica<br>Made available in DSpace on 2018-08-01T20:15:40Z (GMT). No. of bitstreams: 1 Baptistella_PedroHenrique_M.pdf: 4895786 bytes, checksum: 524a48114b7bde3e42723a076929150c (MD5) Previous issue date: 2001<br>Resumo: Em 1970, Ahmad et aI. apresentaram uma formulação, para a análise de placas e cascas, baseada na degeneração de um elemento sólido tridimensional, através da redução de sua dimensão na direção da espessura. O campo de deslocamento era, então, interpolado
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Paschoalini, Amarildo Tabone. "Estudo comparativo entre elementos finitos isoparametricos das familias Serendipity e Lagrangeana para analise dinamica de placas e cascas." [s.n.], 1995. http://repositorio.unicamp.br/jspui/handle/REPOSIP/263265.

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Orientador: Loir Afonso Moreira<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica<br>Made available in DSpace on 2018-07-20T21:53:22Z (GMT). No. of bitstreams: 1 Paschoalini_AmarildoTabone_M.pdf: 45342195 bytes, checksum: f7de9b3d233ba2a85887ce0fe5967b08 (MD5) Previous issue date: 1995<br>Resumo: Em 1970, Ahmad apresentou uma formulação, para análise de placas e cascas, baseada na degeneração de um elemento tridimensional, através da redução de sua dimensão na direção da espessura. O campo de deslocamento era, então, interpolado a partir das funç
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Pierossi, Marcelo de Almeida. "Estudo comparativo entre elementos finitos isoparametricos das familias Serendipity e Lagrangeana para analise estatica de placas e cascas." [s.n.], 1995. http://repositorio.unicamp.br/jspui/handle/REPOSIP/263300.

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Orientador: Loir Afonso Moreira<br>Dissertação (mestrado) - Universidade de Campinas, Faculdade de Engenharia Mecanica<br>Made available in DSpace on 2018-07-21T14:06:57Z (GMT). No. of bitstreams: 1 Pierossi_MarcelodeAlmeida_M.pdf: 22853338 bytes, checksum: 6ece21ffddbf28fbd0da959dcc91fd0d (MD5) Previous issue date: 1995<br>Resumo: Em 1970, Ahmad apresentou uma formulação, para a análise de placas e cascas, baseada na degeneração de um elemento sólido tridimensional, através da redução de sua dimensão na direção da espessura. O campo de deslocamento era, então, interpolado a partir das funçõ
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Mandorino, Vito. "Théorie KAM faible et instabilité pour familles d'hamiltoniens." Phd thesis, Université Paris Dauphine - Paris IX, 2013. http://tel.archives-ouvertes.fr/tel-00867687.

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Dans cette thèse nous étudions la dynamique engendrée par une famille de flots Hamiltoniens. Un tel système dynamique à plusieurs générateurs est aussi appelé 'polysystème'. Motivés par des questions liées au phénomène de la diffusion d'Arnold, notre objectif est de construire des trajectoires du polysystème qui relient deux régions lointaines de l'espace des phases. La thèse est divisée en trois parties.Dans la première partie, nous considérons le polysystème engendré par les flots discrétisés d'une famille d'Hamiltoniens Tonelli. En utilisant une approche variationnelle issue de la théorie K
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Butt, Sajid Ullah. "Conception et modélisation d'un montage de fabrication pour le balançage optimisé d'une famille de pièces." Phd thesis, 2012. http://pastel.archives-ouvertes.fr/pastel-00717645.

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Les erreurs dimensionnelles des pièces d'une famille de pièces provoquent un mauvais placement initial de la pièce sur le montage affectant la qualité du produit final. Même si la pièce est positionnée correctement, la pièce s'écarte de cette position initiale à cause des forces externe d'usinage et de bridage et de la rigidité du montage. Dans cette thèse, un modèle analytique complet, composé d'un modèle cinématique et un modèle mécanique, ayant une configuration de type 3-2-1 des appuis est proposé. Le modèle cinématique remet la pièce, initialement mal placée dans la référence machine, sur
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Books on the topic "Lagrangian families"

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Sorrentino, Alfonso. Action-Minimizing Curves for Tonelli Lagrangians. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691164502.003.0004.

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This chapter discusses the notion of action-minimizing orbits. In particular, it defines the other two families of invariant sets, the so-called Aubry and Mañé sets. It explains their main dynamical and symplectic properties, comparing them with the results obtained in the preceding chapter for the Mather sets. The relation between these new invariant sets and the Mather sets is described. As a by-product, the chapter introduces the Mañé's potential, Peierls' barrier, and Mañé's critical value. It discusses their properties thoroughly. In particular, it highlights how this critical value is re
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Mann, Peter. Near-Integrable Systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0024.

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This chapter extends the now familiar Lagrangian formulation to a field theory and covers elementary material in this new setting. The motion of systems with a very large number of degrees of freedom makes it necessary to specify an almost infinite number of discrete coordinates. It is possible to simplify the situation by taking the continuum limit, which replaces the individual coordinates with a continuous function that describes a displacement field, which assigns a displacement vector to each position the system could occupy relative to an equilibrium configuration. The field thus takes a
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Book chapters on the topic "Lagrangian families"

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Castrillón López, Marco, and Tudor S. Ratiu. "Morse Families and Lagrangian Submanifolds." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32085-4_6.

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Bryant, Robert. "Second order families of special Lagrangian 3-folds." In Perspectives in Riemannian Geometry. American Mathematical Society, 2006. http://dx.doi.org/10.1090/crmp/040/04.

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Hefetz, Dan, and Peter Keevash. "A hypergraph Turán theorem via Lagrangians of intersecting families." In The Seventh European Conference on Combinatorics, Graph Theory and Applications. Scuola Normale Superiore, 2013. http://dx.doi.org/10.1007/978-88-7642-475-5_5.

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Hofer, Helmut, Alberto Abbondandolo, Urs Frauenfelder, and Felix Schlenk. "Families of Legendrians and Lagrangians with unbounded spectral norm." In Symplectic Geometry. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-19111-4_15.

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Conference papers on the topic "Lagrangian families"

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Foster, Norman. "High-Order Overset Methods for Rotorcraft CFD." In Vertical Flight Society 71st Annual Forum & Technology Display. The Vertical Flight Society, 2015. http://dx.doi.org/10.4050/f-0071-2015-10090.

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It has been shown that for overset CFD calculations that utilize high order accurate inviscid flux discretization schemes, solution accuracy can be increased by using high-order overset interpolation. This can be critically relevant in many cases, such as those where it is important to accurately track vortical structures through the domain because of fluid-structure interactions, for example. Many block structured overset CFD solutions employ variants of Lagrangian interpolation to determine overset donor weights and, of these, most use 2nd order accurate interpolation stencils. This paper de
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Rastogi, Vikas, Amalendu Mukherjee, and Anirvan Dasgupta. "Extended Lagrangian Formalism and Invariants of Motion of Dynamical Systems: A Case Study of Electromechanical System." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-79113.

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In this paper, an extended Lagrangian formalism for general class of dynamical systems with dissipative, non-potential fields is formulated with the aim to obtain invariants of motion for such systems. A new concept of umbra-time has been introduced for this extension. D’Alembert basic idea of allowing displacement, when the real time is frozen is conveniently expressed in the terms of umbra-time. This leads to a peculiar form of equations, which is termed as umbra-Lagrange’s equations. A variational or least action doctrine leading to the proposed form of equation is introduced, which is base
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Boardman, A. D., and K. Xie. "Magnetic control of spatial soliton interactions." In The European Conference on Lasers and Electro-Optics. Optica Publishing Group, 1994. http://dx.doi.org/10.1364/cleo_europe.1994.cfg7.

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There is currently quite a lot of interest in spatial solitions1-3 planar optical wave guides. The first calculations, involving bright and dark solitons propagating in magneto-optic materials, will be reported. They follow up recent work of the authors, based on Lagrangian formalism. It will be shown that magneto-optic problems divide, roughly, into polar, longitudinal, and transverse configurations, according to the orientation of the magnetic field to the soliton propagation direction. The system consists of a thin nonlinear film, sandwiched between a linear, nonmagnetic, semi-infinite, cla
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Schneider, O., H. J. Dohmen, F. K. Benra, and D. Brillert. "Investigations of Dust Separation in the Internal Cooling Air System of Gas Turbines." In ASME Turbo Expo 2003, collocated with the 2003 International Joint Power Generation Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/gt2003-38293.

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Improvements in efficiency and performance of gas turbines require a better understanding of the internal cooling air system which provides the turbine blades with cooling air. With the increase of cooling air passing through the internal air system, a greater amount of air borne particles is transported to the film cooling holes at the turbine blade surface. In spite of their small size, these holes are critical for blockage. Blockage of only a few holes could have harmful effects on the cooling film surrounding the blade. As a result, a reduced mean time between maintenance or even unexpecte
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