On Semi-Symmetric Complex Hypersurfaces of a Semi-Definite Complex Space Form
نویسندگان
چکیده
منابع مشابه
Pseudo Ricci symmetric real hypersurfaces of a complex projective space
Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملAscreen Lightlike Hypersurfaces of a Semi-riemannian Space Form with a Semi-symmetric Non-metric Connection
We study lightlike hypersurfaces of a semi-Riemannian space form M̃(c) admitting a semi-symmetric non-metric connection. First, we construct a type of lightlike hypersurfaces according to the form of the structure vector field of M̃(c), which is called a ascreen lightlike hypersurface. Next, we prove a characterization theorem for such an ascreen lightlike hypersurface endow with a totally geodes...
متن کاملpseudo ricci symmetric real hypersurfaces of a complex projective space
pseudo ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo ricci symmetric real hypersurfaces of the complex projective space cpn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملReal Hypersurfaces of a Complex Space Form
In this paper, we show that an n-dimensional connected noncompact Ricci soliton isometrically immersed in the at complex space form (C n+1 2 ; J; h; i), with potential vector eld of the Ricci soliton is the characteristic vector eld of the real hypersurface is an Einstein manifold. We classify connected Hopf hypersurfaces in the at complex space form (C n+1 2 ; J; h; i) and also obtain a ch...
متن کاملEinstein Lightlike Hypersurfaces of a Lorentz Space Form with a Semi-symmetric Non-metric Connection
We study Einstein lightlike hypersurfaces M of a Lorentzian space form M̃(c) admitting a semi-symmetric non-metric connection subject to the conditions; (1) M is screen conformal and (2) the structure vector field ζ of M̃ belongs to the screen distribution S(TM). The main result is a characterization theorem for such a lightlike hypersurface.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2001
ISSN: 0035-7596
DOI: 10.1216/rmjm/1020171568