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- Title
On submanifolds of L x<sub>f</sub><sub />F satisfying Chen's basic equality.
- Authors
Funabashi, S.; Kim, Y.-M.; Pak, J. S.
- Abstract
It is well known that the warped product L xfF of a line L and a Kaehler manifold F is an almost contact Riemannian manifold which is characterized by some tensor equations appeared in (1.7) and (1.8). In this paper we determine submanifolds of L xfF which are tangent to the structure vector field and satisfy Chen's basic equality. Also, we investigate tubular hypersurfaces of L xfCEm which satisfy Chen's basic equality where CEm is a complex Euclidean m-space.
- Subjects
RIEMANNIAN manifolds; DIFFERENTIAL geometry; MANIFOLDS (Mathematics); EQUATIONS; TOPOLOGY; MATHEMATICS
- Publication
Acta Mathematica Hungarica, 2003, Vol 99, Issue 3, p189
- ISSN
0236-5294
- Publication type
Article
- DOI
10.1023/A:1024519109616