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CR-Submanifolds of Semi-Riemannian Kaehler Manifolds

In: Geometry of Cauchy-Riemann Submanifolds

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  • Ramesh Sharma

    (University of New Haven)

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).

Suggested Citation

  • Ramesh Sharma, 2016. "CR-Submanifolds of Semi-Riemannian Kaehler Manifolds," Springer Books, in: Sorin Dragomir & Mohammad Hasan Shahid & Falleh R. Al-Solamy (ed.), Geometry of Cauchy-Riemann Submanifolds, chapter 0, pages 343-359, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-0916-7_12
    DOI: 10.1007/978-981-10-0916-7_12
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