关于紧乘爱因斯坦翘曲积存在性的几点评论

IF 2.1 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

International Journal of Geometric Methods in Modern Physics Pub Date : 2023-10-17 DOI:10.1142/s0219887824500476

Dan Dumitru

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引用次数: 0

摘要

本文的目的是研究紧乘爱因斯坦翘曲积[公式:见文]，[公式:见文]，[公式:见文]的存在性[公式:见文]，[公式:见文]。我们证明如下:(a)[公式:见文]其中[公式:见文]是[公式:见文]的爱因斯坦常数，(b)[公式:见文]其中[公式:见文]是[公式:见文]的爱因斯坦常数，(c)[公式:见文]和[公式:见文]对于每一个[公式:见文]，(d)[公式:见文]对于相等的翘曲函数。

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Some remarks on the existence of compact multiply Einstein warped products

The aim of this paper is to study the existence of compact multiply Einstein warped products [Formula: see text], [Formula: see text], [Formula: see text] for every [Formula: see text], [Formula: see text]. We prove the following: (a) [Formula: see text] where [Formula: see text] is the Einstein constant of [Formula: see text], (b) [Formula: see text] where [Formula: see text] is the Einstein constant of [Formula: see text] for every [Formula: see text], (c) [Formula: see text] and [Formula: see text] for every [Formula: see text], (d) [Formula: see text] for equal warping functions.

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来源期刊

International Journal of Geometric Methods in Modern Physics 物理-物理：数学物理

CiteScore

3.40

自引率

22.20%

发文量

274

审稿时长

6 months

期刊介绍： This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics, including in particular: Classical Mechanics (Lagrangian, Hamiltonian, Poisson formulations); Quantum Mechanics (also semi-classical approximations); Hamiltonian Systems of ODE''s and PDE''s and Integrability; Variational Structures of Physics and Conservation Laws; Thermodynamics of Systems and Continua (also Quantum Thermodynamics and Statistical Physics); General Relativity and other Geometric Theories of Gravitation; geometric models for Particle Physics; Supergravity and Supersymmetric Field Theories; Classical and Quantum Field Theory (also quantization over curved backgrounds); Gauge Theories; Topological Field Theories; Strings, Branes and Extended Objects Theory; Holography; Quantum Gravity, Loop Quantum Gravity and Quantum Cosmology; applications of Quantum Groups; Quantum Computation; Control Theory; Geometry of Chaos.