Multiply warped product submanifolds in Sasakian space forms
Year 2010,
Volume: 3 Issue: 1, 1 - 10, 30.04.2010
Andreea Olteanu
Abstract
References
- [1] B. Y. Chen, On isometric minimal immersions from warped products into real space forms,
Proc. Edinburgh Math. Soc. 45 (2002), 579-587.
- [2] B. Y. Chen, Ricci curvature of real hypersurfaces in complex hyperbolic space, Arch. Math.
(Brno) 38 (2002), 73-80.
- [3] B. Y. Chen and F. Dillen, Optimal inequalities for multiply warped product submanifolds, Int.
Electron. J. Geometry 1 (2008), 1-11.
- [4] I. Hasegawa and I. Mihai, Contact CR-warped product submanifolds in Sasakian manifolds, Geom.
Dedicata 102 (2003), 143-150.
- [5] K. Matsumoto and I. Mihai, Warped product submanifolds in Sasakian space forms, SUT J. Math.
38 (2002), 135-144.
- [6] A. Mihai, I. Mihai and R. Miron (Eds.), Topics in Differential Geometry, Ed. Academiei
Romaˆne, Bucharest, 2008.
- [7] I. Mihai, Contact CR-warped product submanifolds in Sasakian space forms, Geom. Dedicata 109
(2004), 165-173.
- [8] A. Olteanu, CR-doubly warped product submanifolds in Sasakian space forms, Bull. Transil-
vania Univ. Brasov 1 (50), III-2008, 269-278.
- [9] S. Nölker, Isometric immersions of warped products, Differential Geom. Appl. 6 (1996), 1-30.
- [10] B. O’Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic
Press, New York, 1983.