CR-Submanifolds of Semi-Riemannian Kaehler Manifolds

Ramesh Sharma ()
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Ramesh Sharma: University of New Haven

Chapter Chapter 12 in Geometry of Cauchy-Riemann Submanifolds, 2016, pp 343-359 from Springer

Abstract: 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).

Keywords: CR-submanifold; Mixed foliate submanifold; Totally umbilical submanifold; 53C50; 53C55; 83C50 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-0916-7_12

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

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