CR-Submanifolds of Semi-Riemannian Kaehler Manifolds
Manifolds (Mathematics), Riemannian manifolds
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).
Sharma, Ramesh, "CR-Submanifolds of Semi-Riemannian Kaehler Manifolds" (2016). Mathematics Faculty Publications. 7.
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