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Existence of Proper Contact CR Product and Mixed Foliate Contact CR Submanifolds of E^{2m+1} (-3)
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The first purpose of this paper is to study contact CR submanifolds of Sasakian manifolds and investigate some properties concernig with phi-holomorphic bisectional curvature. The second purpose is to show an existence theorem of mixed foliate proper contact CR submanifolds in the standard Sasakian space form E^{2m+1}(-3) with constant phi-sectional curvature -3.
Abstract
The first purpose of this paper is to study contact CR submanifolds of Sasakian manifolds and investigate some properties concernig with phi-holomorphic bisectional curvature. The second purpose is to show an existence theorem of mixed foliate proper contact CR submanifolds in the standard Sasakian space form E^{2m+1}(-3) with constant phi-sectional curvature -3.
참고문헌 (9)
- A. Bejancu, "Geometry of CR-submanifolds" (1986), D. Reidel publishing Company
- A. Bejancu, "Umbilical semi-invariant submanifolds of a Sasakian manifold", Tensor N.S, 37, pp.203~213 (1982)
- A. Bejancu, "Semi-invariant submanifolds of a Sasakian manifold", An. St. Univ. Al. I. Cuza Iasi, 27, pp.163~170 (1981)
- B. Y. Chen, "Geometry of submanifolds" (1973), Marcel Dekker Inc.
- S. Funabashi, "Automorphisms and a reduction theorem in a Sasakian space form E2m+1(3)", Annali di Matematica pura ed applicata (IV), 145, pp.317~336 (1986)
- B. Watson, "The mathematical heritage of C. F. Gauss", pp.827~861 (1991), World Sci. Publ.
- K. Yano, "Contact CR-submanifolds", Kodai Math. J, 5, pp.238~252 (1982)
- K. Yano, "CR-submanifolds of Kaehlerian and Sasakian Manifolds" (1983), auser
- K. Yano, "Structures on manifolds" (1984), World Scienti c
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