We prove a general optimal inequality for warped products in
complex projective spaces and determine warped products which
satisfy the equality case of the inequality. Two non-immersion
theorems are obtained as immediate applications.
@article{1116443660,
author = {Chen, Bang-Yen},
title = {A general optimal inequality for warped products in complex projective spaces and its applications},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {79},
number = {3},
year = {2003},
pages = { 89-94},
language = {en},
url = {http://dml.mathdoc.fr/item/1116443660}
}
Chen, Bang-Yen. A general optimal inequality for warped products in complex projective spaces and its applications. Proc. Japan Acad. Ser. A Math. Sci., Tome 79 (2003) no. 3, pp. 89-94. http://gdmltest.u-ga.fr/item/1116443660/