Browse > Article
http://dx.doi.org/10.7858/eamj.2014.001

EXISTENCE OF PROPER CONTACT CR PRODUCT AND MIXED FOLIATE CONTACT CR SUBMANIFOLDS OF E2m+1(-3)  

Kim, Hyang Sook (Department of Applied Mathematics, Institute of Basic Science, Inje University)
Pak, Eunmi (Department of Mathematics, Kyungpook National University)
Pak, Jin Suk (Kyungpook National University)
Publication Information
East Asian mathematical journal / v.30, no.1, 2014 , pp. 1-14 More about this Journal
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.
Keywords
contact CR submanufold; proper contact CR submanufold; contact CR product; mixed foliate contact CR submanifold; codimension reduction problem; Sasakian space form;
Citations & Related Records
연도 인용수 순위
  • Reference
1 A. Bejancu, Geometry of CR-submanifolds, D. Reidel publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1986.
2 A. Bejancu, Umbilical semi-invariant submanifolds of a Sasakian manifold, Tensor N.S. 37(1982), 203-213.
3 A. Bejancu and N. Papaghiuc, Semi-invariant submanifolds of a Sasakian manifold, An. St. Univ. Al. I. Cuza Iasi. 27(1981), 163-170.
4 B. Y. Chen, Geometry of submanifolds, Marcel Dekker Inc., New York, 1973.
5 S. Funabashi, Automorphisms and a reduction theorem in a Sasakian space form $E^-2m+1}(-3)$, Annali di Matematica pura ed applicata (IV), CXLV(1986), 317-336.
6 B.Watson, The dierential geometry of two types of almost contact metric submersions, The mathematical heritage of C. F. Gauss, 827-861, World Sci. Publ., River Edge, NJ, 1991.
7 K. Yano and M. Kon, Contact CR-submanifolds, Kodai Math. J. 5(1982), 238-252.   DOI
8 K. Yano and M. Kon, CR-submanifolds of Kaehlerian and Sasakian Manifolds, Birkhauser, Boston, Basel, Stuttgart, 1983.
9 K. Yano and M. Kon, Structures on manifolds, World Scientic, Singapore, 1984.