Results 11 to 20 of about 4,560,118 (257)

Commuting Jacobi Operators on Real Hypersurfaces of Type B in the Complex Quadric [PDF]

Mathematical physics, analysis and geometry, 2020
In this paper, first, we investigate the commuting property between the normal Jacobi operator R̄N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}
Hyunjin Lee, Y. Suh
semanticscholar   +1 more source

Ruled real hypersurfaces in the complex hyperbolic quadric

Demonstratio Mathematica, 2023
In this article, we introduce a new family of real hypersurfaces in the complex hyperbolic quadric Qn∗=SO2,no∕SO2SOn{{Q}^{n}}^{\ast }=S{O}_{2,n}^{o}/S{O}_{2}S{O}_{n}, namely, the ruled real hypersurfaces foliated by complex hypersurfaces.
Lee Hyunjin, Suh Young Jin, Woo Changhwa
doaj   +1 more source

On the embeddability of real hypersurfaces into hyperquadrics [PDF]

Advances in Mathematics, 2018
In this paper, we provide {\em effective} results on the non-embeddability of real-analytic hypersurfaces into a hyperquadric. We show that, for any $N >n \geq 1$, the defining functions $ (z,\bar z,u)$ of all real-analytic hypersurfaces $M=\{v= (z,\bar z,u)\}\subset\mathbb C^{n+1}$ containing Levi-nondegenerate points and locally transversally ...
Ilya Kossovskiy, Ilya Kossovskiy, Ming Xiao   +2 more
openaire   +3 more sources

Some New Characterizations of Real Hypersurfaces with Isometric Reeb Flow in Complex Two-Plane Grassmannians

Advances in Mathematical Physics, 2023
In this note, we establish an integral inequality for compact and orientable real hypersurfaces in complex two-plane Grassmannians G2ℂm+2, involving the shape operator A and the Reeb vector field ξ.
Dehe Li, Bo Li, Lifen Zhang
doaj   +1 more source

Derivatives of normal Jacobi operator on real hypersurfaces in the complex quadric [PDF]

Bulletin of the London Mathematical Society, 2020
Suh (Math. Nachr. 290 (2017) 442–451) proved that there are no Hopf real hypersurfaces in the complex quadric that have parallel normal Jacobi operators.
Hyunjin Lee, J. Pérez, Y. Suh
semanticscholar   +1 more source

Abundance of Real Lines on Real Projective Hypersurfaces [PDF]

International Mathematics Research Notices, 2012
We show that a generic real projective n-dimensional hypersurface of degree 2n-1 contains "many" real lines, namely, not less than (2n-1)!!, which is approximately the square root of the number of complex lines. This estimate is based on the interpretation of a suitable signed count of the lines as the Euler number of an appropriate bundle.
Sergey Finashin, Viatcheslav Kharlamov
openaire   +5 more sources

Real hypersurfaces in complex space forms with special almost contact structures

AIMS Mathematics, 2023
In this paper, we prove that an almost contact metric structure of a real hypersurface in a complex space form is quasi-contact if and only if it is contact. We also classify real hypersurfaces whose associated almost contact metric structures are nearly
Quanxiang Pan
doaj   +1 more source

Real Hypersurfaces in Complex Grassmannians of Rank Two

Mathematics, 2021
It is known that there does not exist any Hopf hypersurface in complex Grassmannians of rank two of complex dimension 2m with constant sectional curvature for m≥3. The purpose of this article is to extend the above result, and without the Hopf condition,
Dehe Li, Shujie Zhai
doaj   +1 more source

Holomorphically homogeneous real hypersurfaces in $\mathbb {C}^3$ [PDF]

, 2020
We give a complete description and classification of locally homogeneous real hypersurfaces in $\mathbb C^3$. Various groups of mathematicians have been studying this problem in the last 25 years, and several significant classes of hypersurfaces under ...
A. Loboda
semanticscholar   +1 more source

COMPLEX SUBMANIFOLDS IN REAL HYPERSURFACES [PDF]

Journal of the Korean Mathematical Society, 2010
Let M be a C 1 real hypersurface in C n+1 , n ‚ 1, locally given as the zero locus of a C 1 real valued function r that is defined on a neighborhood of the reference point P 2 M. For each k = 1,...,n we present a necessary and sucient condition for there to exist a complex manifold of dimension k through P that is contained in M, assuming the Levi form
Han, Chong-Kyu, Tomassini, Giuseppe
openaire   +2 more sources