On pseudoconvexity conditions and static spacetimes

Recently, the relationship between (geodesics) convexity, connectedness, and completeness properties in Riemannian manifolds (∑; h) and the causal properties in Lorentzian static spacetimes (M; g) = (R × ∑; -dt۲ + h) is studied. In this paper, some sufficient conditions are introduced to (∑; h) be geodesically convex.

Keywords:

Spacetimes , Causal structure , Pseudoconvexity , Convexity

Authors

Mehdi Vatandoost

Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.

Rahimeh Pourkhandani

Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.

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لینک ثابت به این Paper:

https://civilica.com/doc/1814730

شناسه ملی سند علمی:

JR_JFGA-3-1_004

تاریخ نمایه سازی: 18 آبان 1402

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:

Vatandoost, Mehdi and Pourkhandani, Rahimeh,1401,On pseudoconvexity conditions and static spacetimes,https://civilica.com/doc/1814730

Scientometrics

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Ranking of Hakim Sabzevari University

Type of center: دانشگاه دولتی

Paper count: 5,885

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