sasaki流形和Clairaut条件的反不变黎曼映射

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics Pub Date : 2025-07-01 DOI:10.1016/j.geomphys.2025.105581

Reetu Maini , Garima Gupta , Rashmi Sachdeva , Rakesh Kumar , Rachna Rani , Satvinder Singh Bhatia

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引用次数: 0

摘要

我们研究了sasaki流形到黎曼流形的反不变黎曼映射，重点研究了结构向量场是水平的情况。研究了从sasaki流形到黎曼流形的克莱罗反不变黎曼映射，并推导了一个反不变黎曼映射成为克莱罗黎曼映射的条件。我们也给出了从sasaki流形到黎曼流形的反不变和Clairaut反不变黎曼映射的非平凡例子，保证了结构向量场保持水平。

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Anti-invariant Riemannian maps from Sasakian manifolds and Clairaut condition

We study anti-invariant Riemannian maps from Sasakian manifolds to Riemannian manifolds, focusing on the case where the structure vector field is horizontal. We investigate Clairaut anti-invariant Riemannian maps from Sasakian manifolds to Riemannian manifolds and derive a condition under which an anti-invariant Riemannian map becomes a Clairaut Riemannian map. We also present non-trivial examples of anti-invariant and Clairaut anti-invariant Riemannian maps from Sasakian manifolds to Riemannian manifolds, ensuring the structure vector field remains horizontal.

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来源期刊

Journal of Geometry and Physics 物理-物理：数学物理

CiteScore

2.90

自引率

6.70%

发文量

205

审稿时长

64 days

期刊介绍： The Journal of Geometry and Physics is an International Journal in Mathematical Physics. The Journal stimulates the interaction between geometry and physics by publishing primary research, feature and review articles which are of common interest to practitioners in both fields. The Journal of Geometry and Physics now also accepts Letters, allowing for rapid dissemination of outstanding results in the field of geometry and physics. Letters should not exceed a maximum of five printed journal pages (or contain a maximum of 5000 words) and should contain novel, cutting edge results that are of broad interest to the mathematical physics community. Only Letters which are expected to make a significant addition to the literature in the field will be considered. The Journal covers the following areas of research: Methods of: • Algebraic and Differential Topology • Algebraic Geometry • Real and Complex Differential Geometry • Riemannian Manifolds • Symplectic Geometry • Global Analysis, Analysis on Manifolds • Geometric Theory of Differential Equations • Geometric Control Theory • Lie Groups and Lie Algebras • Supermanifolds and Supergroups • Discrete Geometry • Spinors and Twistors Applications to: • Strings and Superstrings • Noncommutative Topology and Geometry • Quantum Groups • Geometric Methods in Statistics and Probability • Geometry Approaches to Thermodynamics • Classical and Quantum Dynamical Systems • Classical and Quantum Integrable Systems • Classical and Quantum Mechanics • Classical and Quantum Field Theory • General Relativity • Quantum Information • Quantum Gravity