CR-Submanifolds and $$\delta $$ δ -Invariants

Bang-Yen Chen ()
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Bang-Yen Chen: Michigan State University, Department of Mathematics

Chapter Chapter 2 in Geometry of Cauchy-Riemann Submanifolds, 2016, pp 27-55 from Springer

Abstract: Abstract Curvature invariants are the $$N^o\,1$$ N o 1 Riemannian invariants and the most natural ones. Curvatures invariants play key roles in physics as well. Classically, among the Riemannian curvature invariants, people have been studying scalar and Ricci curvatures in great detail. On the other hand, the author introduced in the early 1990s, a new type of curvature invariants on Riemannian manifolds, called $$\delta $$ δ -invariants. The $$\delta $$ δ -curvatures are very different in nature from the “classical” scalar and Ricci curvatures. $$\delta $$ δ -invariants are known to play some important roles in several areas in mathematics. In this article, we survey recent results on CR-submanifolds in complex space forms which are related to $$\delta $$ δ -invariants and Riemannian submersions.

Keywords: Warped product submanifold; CR-Warped product; Twisted product submanifold; 53C40; 53C42; 53C50 (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_2

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DOI: 10.1007/978-981-10-0916-7_2

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