A study on hypersurface of complex space form
Author(s) -
C. S. Bagewadi,
M. C. Bharathi
Publication year - 2013
Publication title -
acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2013.17.05
Subject(s) - hypersurface , einstein , einstein manifold , space (punctuation) , pure mathematics , manifold (fluid mechanics) , mathematics , complex space , mathematical analysis , mathematical physics , geometry , computer science , ricci curvature , curvature , mechanical engineering , affine transformation , engineering , operating system
We show that quasi-umbilical, generalized quasi-umbilical, super quasi-umbilical hypersurfaces of a complex space form are quasi-Einstein, mixed generalized quasi-Einstein and mixed super quasi-Einstein manifolds, respectively. We also prove that a Bochner at space of generalized complex space form is an Einstein manifold.
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