Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Pérez Juan de Dios"'
Autor:
Pérez Juan de Dios, Pérez-López David
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 495-506 (2024)
On a real hypersurface MM in complex projective space, we can define two tensor fields of type (1, 2), AF(k){A}_{F}^{\left(k)} and AT(k){A}_{T}^{\left(k)}, associated with the shape operator AA of the real hypersurface, for any nonnull real number kk
Externí odkaz:
https://doaj.org/article/fb86576728ad456483f862f8eb958858
Publikováno v:
Open Mathematics, Vol 13, Iss 1 (2015)
In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified. Furthermore, it is proved that the on
Externí odkaz:
https://doaj.org/article/06962aeb8b0a433f824b2f73ca3ef5be
We consider real hypersurfaces $M$ in complex projective space equipped with both the Levi-Civita and generalized Tanaka-Webster connections. For any nonnull constant $k$ and any symmetric tensor field of type (1,1) $L$ on $M$ we can define two tenso
Externí odkaz:
http://arxiv.org/abs/2208.11897
The almost contact metric structure that we have on a real hypersurface $M$ in the complex quadric $Q^{m}=SO_{m+2}/SO_mSO_2$ allows us to define, for any nonnull real number $k$, the $k$-th generalized Tanaka-Webster connection on $M$, $\hat{\nabla}^
Externí odkaz:
http://arxiv.org/abs/2206.12737
Publikováno v:
Differential Geometry and its Applications, Volume 73, 2020, 101685, ISSN 0926-2245
Let $M$ be a real hypersurface in complex projective space. The almost contact metric structure on $M$ allows us to consider, for any nonnull real number $k$, the corresponding $k$-th generalized Tanaka-Webster connection on $M$ and, associated to it
Externí odkaz:
http://arxiv.org/abs/2109.03931
The main two families of real hypersurfaces in complex space forms are Hopf and ruled. However, very little is known about real hypersurfaces in the indefinite complex projective space $\cpn$. In a previous work, Kimura and the second author introduc
Externí odkaz:
http://arxiv.org/abs/2102.10641
In \cite{S 2017}, Suh gave a non-existence theorem for Hopf real hypersurfaces in the complex quadric with parallel normal Jacobi operator. Motivated by this result, in this paper, we introduce some generalized conditions named $\mathcal C$-parallel
Externí odkaz:
http://arxiv.org/abs/2005.03483