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Relevant bibliographies by topics / Euler Characteristic-2

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Academic literature on the topic 'Euler Characteristic-2'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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Journal articles on the topic "Euler Characteristic-2"

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Hoekzema, Renee S. "Manifolds with Odd Euler Characteristic and Higher Orientability." International Mathematics Research Notices 2020, no. 14 (2018): 4496–511. http://dx.doi.org/10.1093/imrn/rny154.

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Abstract It is well known that odd-dimensional manifolds have Euler characteristic zero. Furthermore, orientable manifolds have an even Euler characteristic unless the dimension is a multiple of $4$. We prove here a generalisation of these statements: a $k$-orientable manifold (or more generally Poincaré complex) has even Euler characteristic unless the dimension is a multiple of $2^{k+1}$, where we call a manifold $k$-orientable if the i-th Stiefel–Whitney class vanishes for all $0&lt;i&lt; 2^k$ ($k\geq 0$). More generally, we show that for a $k$-orientable manifold the Wu classes $v_

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Bergström, Jonas, and Olof Bergvall. "The equivariant Euler characteristic of $\mathcal{A}3[2]$." ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA - CLASSE DI SCIENZE 20, no. 4 (2020): 1345–57. http://dx.doi.org/10.2422/2036-2145.201805_001.

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Simone, Jonathan. "Symplectically replacing plumbings with Euler characteristic $2 \: 4$‑manifolds." Journal of Symplectic Geometry 18, no. 5 (2020): 1285–318. http://dx.doi.org/10.4310/jsg.2020.v18.n5.a4.

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Chinen, Naotsugu. "Manifolds with nonzero Euler characteristic and codimension-2 fibrators." Topology and its Applications 86, no. 2 (1998): 151–67. http://dx.doi.org/10.1016/s0166-8641(97)00116-8.

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Szafraniec, Zbigniew. "On the Euler characteristic mod 2 of real projective varieties." Mathematical Proceedings of the Cambridge Philosophical Society 104, no. 3 (1988): 479–81. http://dx.doi.org/10.1017/s030500410006566x.

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LEVINE, MARC. "MOTIVIC EULER CHARACTERISTICS AND WITT-VALUED CHARACTERISTIC CLASSES." Nagoya Mathematical Journal 236 (March 22, 2019): 251–310. http://dx.doi.org/10.1017/nmj.2019.6.

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This paper examines Euler characteristics and characteristic classes in the motivic setting. We establish a motivic version of the Becker–Gottlieb transfer, generalizing a construction of Hoyois. Making calculations of the Euler characteristic of the scheme of maximal tori in a reductive group, we prove a generalized splitting principle for the reduction from $\operatorname{GL}_{n}$ or $\operatorname{SL}_{n}$ to the normalizer of a maximal torus (in characteristic zero). Ananyevskiy’s splitting principle reduces questions about characteristic classes of vector bundles in $\operatorname{SL}$-or

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Maxwell, George. "Euler Characteristics and imbeddings of hyperbolic Coxeter groups." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 64, no. 2 (1998): 149–61. http://dx.doi.org/10.1017/s1446788700001658.

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AbstractThis paper has a twofold purpose. The first is to compute the Euler characteristics of hyperbolic Coxeter groups Ws of level 1 or 2 by a mixture of theoretical and computer aided methods. For groups of level 1 and odd values of |S|, the Euler characteristic is related to the volume of the fundamental region of Ws in hyperbolic space. Secondly we note two methods of imbedding such groups in each other. This reduces the amount of computation needed to determine the Euler characteristics and also reduces the number of essentially different hyperbolic groups that need to be considered.

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Rungtanapirom, Nithi. "Quaternionic arithmetic lattices of rank 2 and a fake quadric in characteristic 2." International Journal of Algebra and Computation 28, no. 06 (2018): 1049–90. http://dx.doi.org/10.1142/s0218196718500467.

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We construct a torsion-free arithmetic lattice in [Formula: see text] arising from a quaternion algebra over [Formula: see text]. It is the fundamental group of a square complex with universal covering [Formula: see text], a product of trees with constant valency [Formula: see text], which has minimal Euler characteristic. Furthermore, our lattice gives rise to a fake quadric over [Formula: see text] by means of non-archimedean uniformization.

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Ji, Feng, and Shengkui Ye. "Partial Euler characteristic, normal generations and the stable $D(2)$ problem." Homology, Homotopy and Applications 20, no. 2 (2018): 105–14. http://dx.doi.org/10.4310/hha.2018.v20.n2.a6.

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Hillman, Jonathan A. "Elementary amenable groups and 4-manifolds with Euler characteristic 0." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 50, no. 1 (1991): 160–70. http://dx.doi.org/10.1017/s1446788700032638.

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AbstractWe extend earlier work relating asphericity and Euler characteristics for finite complexes whose fundamental groups have nontrivial torsion free abelian normal subgroups. In particular a finitely presentable group which has a nontrivial elementary amenable subgroup whose finite subgroups have bounded order and with no nontrivial finite normal subgroup must have deficiency at most 1, and if it has a presentation of deficiency 1 then the corresponding 2-complex is aspherical. Similarly if the fundamental group of a closed 4-manifold with Euler characteristic 0 is virtually torsion free a

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Dissertations / Theses on the topic "Euler Characteristic-2"

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Delgado, Robert. "Density properties of Euler characteristic -2 surface group, PSL(2,R) character varieties." College Park, Md.: University of Maryland, 2009. http://hdl.handle.net/1903/9099.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2009.<br>Thesis research directed by: Dept. of Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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Upadhyay, Ashish Kumar. "Degree-Regular Triangulations Of The Torus, The Klein Bottle And The Double-Torus." Thesis, 2005. https://etd.iisc.ac.in/handle/2005/1450.

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Upadhyay, Ashish Kumar. "Degree-Regular Triangulations Of The Torus, The Klein Bottle And The Double-Torus." Thesis, 2005. http://etd.iisc.ernet.in/handle/2005/1450.

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Books on the topic "Euler Characteristic-2"

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Tretkoff, Paula. Riemann Surfaces, Coverings, and Hypergeometric Functions. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0003.

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This chapter deals with Riemann surfaces, coverings, and hypergeometric functions. It first considers the genus and Euler number of a Riemann surface before discussing Möbius transformations and notes that an automorphism of a Riemann surface is a biholomorphic map of the Riemann surface onto itself. It then describes a Riemannian metric and the Gauss-Bonnet theorem, which can be interpreted as a relation between the Gaussian curvature of a compact Riemann surface X and its Euler characteristic. It also examines the behavior of the Euler number under finite covering, along with finite subgroup

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Farb, Benson, and Dan Margalit. Torsion. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0008.

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This chapter deals with finite subgroups of the mapping class group. It first explains the distinction between finite-order mapping classes and finite-order homeomorphisms, focusing on the Nielsen realization theorem for cyclic groups and detection of torsion with the symplectic representation. It then considers the problem of finding an Euler characteristic for orbifolds, to prove a Gauss–Bonnet theorem for orbifolds, and to use these results to show that there is a universal lower bound of π‎/21 for the area of any 2-dimensional orientable hyperbolic orbifold. The chapter demonstrates that,

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Book chapters on the topic "Euler Characteristic-2"

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Asok, Aravind, and Jean Fasel. "Secondary characteristic classes and the Euler class." In A Collection of Manuscripts Written in Honour of Alexander S. Merkurjev on the Occasion of His Sixtieth Birthday. EMS Press, 2015. http://dx.doi.org/10.4171/dms/7/2.

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"Chapter 8. Deformation spaces of real projective structures on 2-orbifolds of negative Euler characteristics: An introduction." In Mathematical Society of Japan Memoirs. The Mathematical Society of Japan, 2012. http://dx.doi.org/10.2969/msjmemoirs/02701c080.

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Conference papers on the topic "Euler Characteristic-2"

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Chima, R. V. "A Three-Dimensional Unsteady CFD Model of Compressor Stability." In ASME Turbo Expo 2006: Power for Land, Sea, and Air. ASMEDC, 2006. http://dx.doi.org/10.1115/gt2006-90040.

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A three-dimensional unsteady CFD code called CSTALL has been developed and used to investigate compressor stability. The code solved the Euler equations through the entire annulus and all blade rows. Blade row turning, losses, and deviation were modeled using body force terms which required input data at stations between blade rows. The input data was calculated using a separate Navier-Stokes turbomachinery analysis code run at one operating point near stall, and was scaled to other operating points using overall characteristic maps. No information about the stalled characteristic was used. CS

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Campobasso, M. Sergio, Mohammad H. Baba-Ahmadi, and Grant McLelland. "Ad-Hoc Boundary Conditions for CFD Analyses of Turbomachinery Problems With Strong Radial Flow Gradients at Farfield Boundaries." In ASME Turbo Expo 2010: Power for Land, Sea, and Air. ASMEDC, 2010. http://dx.doi.org/10.1115/gt2010-22176.

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This paper reports on the improvements of flux enforcement and auxiliary state farfield boundary conditions for Euler and Navier-Stokes Computational Fluid Dynamics codes. The new conditions are based on 1D characteristic data and also on the introduction in the boundary conditions of certain numerical features of the numerical scheme used for the interior of the domain. In the presence of strong radial gradients of the flow field at the farfield boundaries, the new conditions perform significantly better than their conventional counterparts, in that they a) preserve the order of the space-dis

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Fredrick, Nicholas, and Milt Davis. "Investigation of the Effects of Inlet Swirl on Compressor Performance and Operability Using a Modified Parallel Compressor Model." In ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/gt2011-45553.

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Serpentine ducts used by both military and commercial aircraft can generate significant flow angularity and total pressure distortion at the engine face. Most low by-pass ratio turbofan engines with mixed exhaust are equipped with inlet guide vanes (IGV) which can reduce the effect of moderate inlet distortion. High by-pass ratio and some low by-pass ratio turbofan engines are not equipped with IGVs, and swirl can in effect change the angle of attack of the fan blades. Swirl and total pressure distortion at the engine inlet will impact engine performance, operability, and durability. The impac

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Hayashi, Marcelo, Marco Ceze, and Ernani Volpe. "Characteristics-based Boundary Conditions for the Euler Adjoint Problem: 2-D Formulation." In 28th AIAA Applied Aerodynamics Conference. American Institute of Aeronautics and Astronautics, 2010. http://dx.doi.org/10.2514/6.2010-4677.

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Saxer-Felici, H. M., A. P. Saxer, A. Inderbitzin, and G. Gyarmathy. "Prediction and Measurement of Rotating Stall Cells in an Axial Compressor." In ASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/98-gt-067.

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This paper presents a parallel numerical and experimental study of rotating stall cells in an axial compressor. Based on previous theoretical and experimental studies stressing the importance of fluid inertia and momentum exchange mechanisms in rotating stall, a numerical simulation using the Euler equations is conducted. Unsteady 2-D solutions of rotating stall behavior are obtained in a one-stage low subsonic axial compressor. The structure and speed of propagation of one fully developed rotating stall cell together with its associated unsteady static pressure and throughflow field distribut

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Kong, Xianwen, Jingjun Yu, and Duanling Li. "Reconfiguration Analysis of a 2-DOF 3-4R Parallel Manipulator With Planar Base and Platform." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46219.

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This paper deals with a 2-DOF 3-4R parallel manipulator (PM) with planar base and platform — a novel PM with multiple operation mode (or disassembly-free reconfigurable PM) with minimum number of actuated joints. At first, a set of constraint equations of the 3-4R PM is derived with the orientation of the moving platform represented using a Euler parameter quaternion (also Euler-Rodrigues quaternion) and then solved using the algebraic geometry method. It is found that this 3-4R PM has six 2-DOF operation modes, including the two expected spherical translation mode and sphere-on-sphere rolling

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Alemao, E., Z. Guo, L. Ferri, and L. Burns. "THU0688 Do certain dmards increase risk of new-onset type 2 diabetes? evaluation of patients’ baseline characteristics." In Annual European Congress of Rheumatology, EULAR 2018, Amsterdam, 13–16 June 2018. BMJ Publishing Group Ltd and European League Against Rheumatism, 2018. http://dx.doi.org/10.1136/annrheumdis-2018-eular.2033.

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Alemao, E., L. Ferri, D. Paul, et al. "SAT0133 Prevalence of type 2 diabetes and evaluation of patient characteristics among patients with and without ra from community rheumatologyclinics." In Annual European Congress of Rheumatology, EULAR 2018, Amsterdam, 13–16 June 2018. BMJ Publishing Group Ltd and European League Against Rheumatism, 2018. http://dx.doi.org/10.1136/annrheumdis-2018-eular.2582.

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Schulze, Moritz, Tobias Hummel, Noah Klarmann, Frederik Berger, Bruno Schuermans, and Thomas Sattelmayer. "Linearized Euler Equations for the Prediction of Linear High-Frequency Stability in Gas Turbine Combustors." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-57818.

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A novel methodology for linear stability analysis of high-frequency thermoacoustic oscillations in gas turbine combustors is presented. The methodology is based on the linearized Euler equations, which yield a high-fidelity description of acoustic wave propagation and damping in complex, non-uniform, reactive mean flow environments, such as encountered in gas turbine combustion chambers. Specifically, this work introduces three novelties to the community: (1) Linear stability analysis on the basis of linearized Euler equations. (2) Explicit consideration of three-dimensional, acoustic oscillat

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Santos de Oliveira, Iona´ Maghali, Paulo Fernando Ferreira Frutuoso e Melo, and Marcos Oliveira de Pinho. "An Aging Simulation Model for the Emergency Diesel Generators of Angra 2 by Supplementary Variables." In 16th International Conference on Nuclear Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/icone16-48112.

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The extension of the useful lifetime of nuclear power plants is an issue of great importance and concern. From the reliability point of view, this problem requires the consideration of time-dependent failure rates and possible failure dependencies. This analysis has been typically performed through a Markovian approach. To illustrate this point, we have developed a computerized reliability analysis of the emergency diesel generators (EDGs) of a four “loop” PWR plant, considering the hypothesis of aging and perfect repair by using Supplementary Variables to cast the initially Nonmarkovian model

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