CR-Submanifolds of Semi-Riemannian Kaehler Manifolds

Authors

Ramesh Sharma, University of New HavenFollow

Author URLs

Professor Sharma's Faculty Profile

Document Type

Book Chapter

Publication Date

2016

Subject: LCSH

Manifolds (Mathematics), Riemannian manifolds

Disciplines

Mathematics

Abstract

First, we review the preliminaries and basic formulas for the CR-submanifold of a Kaehler manifold. Allowing the Kaehler metric to be of all signatures compatible with the Hermitian structure, we recall the results on mixed foliate, normal mixed totally geodesic and totally umbilical CR-submanifolds of a Kaehler manifold. Finally, CR-submanifolds have been studied within the frame-work of space-time (in particular, of general relativity).

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DOI

10.1007/978-981-10-0916-7_12

Repository Citation

Sharma, Ramesh, "CR-Submanifolds of Semi-Riemannian Kaehler Manifolds" (2016). Mathematics Faculty Publications. 7.
https://digitalcommons.newhaven.edu/mathematics-facpubs/7

Publisher Citation

Sharma, R. (2016). CR-Submanifolds of Semi-Riemannian Kaehler Manifolds. In Geometry of Cauchy-Riemann Submanifolds (pp. 343-359). Springer Singapore. (book chapter) DOI: 10.1007/978-981-10-0916-7_12