Real hypersurfaces in the complex hyperbolic quadric with parallel structure Jacobi operator
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 کاملThe Structure Jacobi Operator for Hypersurfaces in Cp and Ch
Using the methods of moving frames, we study real hypersurfaces in complex projective space CP and complex hyperbolic space CH whose structure Jacobi operator has various special properties. Our results complement work of several other authors who worked in CPn and CHn for n ≥ 3.
متن کاملReal Hypersurfaces with Constant Principal Curvatures in Complex Hyperbolic Spaces
We present the classification of all real hypersurfaces in complex hyperbolic space CHn, n ≥ 3, with three distinct constant principal curvatures.
متن کاملRecurrent Jacobi Operator of Real Hypersurfaces in Complex Two-plane Grassmannians
In this paper we give a non-existence theorem for Hopf hypersurfaces in the complex two-plane Grassmannian G2(C) with recurrent normal Jacobi operator R̄N .
متن کاملJacobi operators along the structure flow on real hypersurfaces in a nonflat complex space form
Let M be a real hypersurface of a complex space form with almost contact metric structure (φ, ξ, η, g). In this paper, we study real hypersurfaces in a complex space form whose structure Jacobi operator Rξ = R(·, ξ)ξ is ξ-parallel. In particular, we prove that the condition ∇ξRξ = 0 characterizes the homogeneous real hypersurfaces of type A in a complex projective space or a complex hyperbolic ...
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: Publicationes Mathematicae Debrecen
سال: 2019
ISSN: 0033-3883
DOI: 10.5486/pmd.2019.8262