Results 221 to 230 of about 4,577,037 (258)

Ruled Real Hypersurfaces in the Complex Quadric

The Journal of Geometric Analysis, 2021
First we introduce the notions of $$\eta $$ -parallel and $$\eta $$ -commuting shape operator for real hypersurfaces in the complex quadric
M. Kimura, Hyunjin Lee, J. Pérez, Y. Suh   +3 more
semanticscholar   +4 more sources

Generalized -Einstein Real Hypersurfaces in and

Canadian Mathematical Bulletin, 2020
In this paper we obtain some new characterizations of pseudo-Einstein real hypersurfaces in $\mathbb{C}P^{2}$ and $\mathbb{C}H^{2}$. More precisely, we prove that a real hypersurface in $\mathbb{C}P^{2}$ or $\mathbb{C}H^{2}$ with constant mean curvature ...
Yaning Wang
semanticscholar   +3 more sources

A certain η-parallelism on real hypersurfaces in a nonflat complex space form

Mathematica Slovaca, 2021
In this paper, we give the complete classification of real hypersurfaces in a nonflat complex space form from the viewpoint of the η-parallelism of the tensor field h(= (1/2)𝓛ξϕ).
Kazuhiro Okumura
semanticscholar   +1 more source

New characterizations of real hypersurfaces with isometric Reeb flow in the complex quadric

Colloquium Mathematicum, 2021
We prove an integral inequality for compact orientable real hypersurfaces of the complex quadric Q (n ≥ 3) in terms of their shape operator S and Reeb vector field ξ.
Zejun Hu, Jiabin Yin
semanticscholar   +1 more source

A new classification on parallel Ricci tensor for real hypersurfaces in the complex quadric

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020
First we introduce the notion of parallel Ricci tensor ${\nabla }\mathrm {Ric}=0$ for real hypersurfaces in the complex quadric Qm = SOm+2/SOmSO2 and show that the unit normal vector field N is singular.
Hyunjin Lee, Y. Suh
semanticscholar   +1 more source

Real hypersurfaces in the complex hyperbolic quadric with harmonic curvature

Mathematische Nachrichten, 2020
We give a classification of real hypersurfaces in the complex hyperbolic quadric Qm∗=SO2,mo/SO2SOm that have constant mean curvature and harmonic curvature.
Y. Suh
semanticscholar   +1 more source

Real Hypersurfaces in the Complex Hyperbolic Quadric with Reeb Parallel Structure Jacobi Operator

Mathematical physics, analysis and geometry, 2019
We introduce the notion of Reeb parallel structure Jacobi operator for real hypersurfaces in the complex hyperbolic quadric Q∗m=SO2,m0/SO2SOm\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}
Hyunjin Lee, Y. Suh
semanticscholar   +1 more source

Real hypersurfaces in the complex hyperbolic quadrics with isometric Reeb flow

, 2018
We classify real hypersurfaces with isometric Reeb flow in the complex hyperbolic quadrics Q∗m = SO 2,mo/SO mSO2, m ≥ 3. We show that m is even, say m = 2k, and any such hypersurface becomes an open part of a tube around a k-dimensional complex ...
Y. Suh
semanticscholar   +1 more source

Commutativity of Cho and normal Jacobi operators on real hypersurfaces in the complex quadric

Publicationes mathematicae (Debrecen), 2019
On a real hypersurface in the complex quadric we can consider the LeviCivita connection and, for any non-zero real constant k, the k-th generalized Tanaka– Webster connection.
J. Pérez, Y. Suh
semanticscholar   +1 more source