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- Title
Real hypersurfaces with Killing type operators in a nonflat complex space form.
- Authors
Wang, Yaning
- Abstract
In this paper, we obtain that if the structure Lie operator of a real hypersurface M in a nonflat complex space form $$M^n(c)$$ is of Killing type, then M either is locally congruent to one of the model spaces of type A in $$M^n(c)$$ or is of type B in a complex projective space. Moreover, we obtain a new characterization of type B hypersurfaces in a complex hyperbolic space and a new non-existence result of real hypersurfaces admitting some Killing type operators.
- Subjects
HYPERSURFACES; H-spaces; MATHEMATICAL complex analysis; HYPERBOLIC spaces; HOPF bifurcations
- Publication
Journal of Geometry, 2017, Vol 108, Issue 3, p825
- ISSN
0047-2468
- Publication type
Article
- DOI
10.1007/s00022-017-0375-1