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- Title
On a Class of Real Hypersurfaces in a Complex Space Form with Weakly $$\phi $$ -Invariant Shape Operator.
- Authors
Loo, Tee-How
- Abstract
In this paper, we study real hypersurfaces in a complex space form with weakly $$\phi $$ -invariant shape operator, where $$\phi $$ is the almost contact structure on the real hypersurfaces induced by the complex structure on its ambient space. We first construct a class of real hypersurfaces with weakly $$\phi $$ -invariant shape operator in complex Euclidean spaces and complex projective spaces and then give a characterization of such a class of real hypersurfaces. With this results, we classify minimal real hypersurfaces with weakly $$\phi $$ -invariant shape operator in complex Euclidean spaces and in complex projective spaces.
- Subjects
HYPERSURFACES; GEOMETRIC surfaces; MATHEMATICAL symmetry; EUCLIDEAN distance; H-spaces; HYPERBOLIC spaces; HOLOMORPHIC functions
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2015, Vol 38, Issue 3, p1297
- ISSN
0126-6705
- Publication type
Article
- DOI
10.1007/s40840-014-0076-y