Inequalities on Isotropic Submanifolds in Pseudo-Riemannian Space Forms

Author:

CIOBANU Alexandru1ORCID

Affiliation:

1. Transilvania University of Brasov

Abstract

Spacelike and timelike isotropic submanifolds of pseudo-Riemannian spaces have interesting properties, with important applications in Mathematics and Physics. The article presents inequalities for isotropic spacelike and timelike submanifolds of pseudo-Riemannian space forms and isotropic Lorentzian submanifolds are also considered.

Publisher

International Electronic Journal of Geometry, Person (Kazim ILARSLAN)

Subject

Applied Mathematics,Geometry and Topology,Mathematical Physics

Reference9 articles.

1. [1] Cabrerizo, J.L., Fernandez, M. Gomez, J.S.: Isotropic submanifolds of pseudo-Riemannian spaces. Journal of Geometry and Physics. 62, 1915- 1924 (2012).

2. [2] Chen, B.Y.: Pseudo-Riemannian geometry, δ-invariants and applications, World Scientific. Singapore (2011).

3. [3] Chen, B.Y.: Complex extensors and Lagrangian submanifolds in indefinite complex Euclidean spaces, Bulletin of the Institute of Mathematics Academia Sinica. 31 (3), 151-179 (2003).

4. [4] Ciobanu, A., Mirea, M.: New inequalities on isotropic spacelike submanifolds in pseudo-Riemannian space forms. Romanian Journal of Mathematics and Computer Science. 11 (2), 48-52 (2021).

5. [5] Deng, S.: An improved Chen-Ricci inequality, International Electronic Journal of Geometry. 2 (2), 39-45 (2009).

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