Lie derivatives and structure Jacobi operator on real hypersurfaces in complex projective spaces
نویسندگان
چکیده
منابع مشابه
Real hypersurfaces in complex projective space whose structure Jacobi operator is Lie ξ - parallel
We classify real hypersurfaces in complex projective spaces whose structure Jacobi operator is Lie parallel in the direction of the structure vector field. 2004 Elsevier B.V. All rights reserved.
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 کاملbiquaternions lie algebra and complex-projective spaces
in this paper, lie group structure and lie algebra structure of unit complex 3-sphere are studied. in order to do this, adjoint representations of unit biquaternions (complexified quaternions) are obtained. also, a correspondence between the elements of and the special complex unitary matrices (2) is given by expressing biquaternions as 2-dimensional bicomplex numbers . the relat...
متن کاملReal Hypersurfaces in Quaternionic Projective Spaces with Commuting Tangent Jacobi Operators
From the classical differential equation of Jacobi fields, one naturally defines the Jacobi operator of a Riemannian manifold with respect to any tangent vector. A straightforward computation shows that any real, complex and quaternionic space forms satisfy that any two Jacobi operators commute. In this way, we classify the real hypersurfaces in quaternionic projective spaces all of whose tange...
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: Differential Geometry and its Applications
سال: 2017
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2016.10.004