Optimal Inequalities For Multiply Warped Product Submanifolds

Keywords:

Multiply warped products, warped product immersion, warping func- tion, inequality multiply CR-warped product, eigenfunction of Laplacia,

[1] Chen, B. Y., Geometry of Submanifolds, M. Dekker, New York, 1973.
[2] Chen, B. Y., Geometry of warped product CR-submanifolds in Kaehler manifolds, Monatsh. Math. 133(2001), no. 3, 177-195; II, ibid, 134(2001), no. 2, 103-119.
[3] Chen, B. Y., On isometric minimal immersions from warped products into real space forms, Proc. Edinburgh Math. Soc., 45(2002), no. 3, 579-587.
[4] Chen, B. Y., Ricci curvature of real hypersurfaces in complex hyperbolic space, Arch. Math. (Brno), 38(2002), no. 1, 73-80.
[5] Dillen, F. and NÄolker, S., Semi-parallelity, multi-rotation surfaces and the helix-property, J. Reine Angew. Math., 435(1993), 33-63.
[6] Nölker, S., Isometric immersions of warped products, Differential Geom. Appl., 6(1996), no. 1, 1-30.
[7] O'Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983.

Sayıdaki Diğer Makaleler