Zobrazeno 1 - 10
of 656
pro vyhledávání: '"shape operator"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 28306-28319 (2024)
Given an immersed hypersurface $ M^{n} $ in the Euclidean space $ E^{n+1} $, the tangential component $\boldsymbol{\omega }$ of the position vector field of the hypersurface is called the basic vector field, and the smooth function of the normal comp
Externí odkaz:
https://doaj.org/article/268ae993bdb948fd8b4f01c11c3696d3
Publikováno v:
Demonstratio Mathematica, Vol 56, Iss 1, Pp 246-266 (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. Berndt
Externí odkaz:
https://doaj.org/article/9bfcc62f152d423eb0ab18bdfe35df7e
Autor:
Mehran Aminian, Mehran Namjoo
Publikováno v:
ریاضی و جامعه, Vol 9, Iss 1, Pp 33-50 (2024)
This paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in continu
Externí odkaz:
https://doaj.org/article/4fe44d0b6ce44adb90ff2fd015ebedd5
Autor:
Yanlin Li, Erhan Güler
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 24957-24970 (2023)
In this study, we introduce a family of hypersurfaces of revolution characterized by six parameters in the seven-dimensional pseudo-Euclidean space $ {\mathbb{E}}_{3}^{7} $. These hypersurfaces exhibit intriguing geometric properties, and our aim is
Externí odkaz:
https://doaj.org/article/68501479ca8049acb51b0f43fa5b7d11
Autor:
Djordje Kocić, Miroslava Antić
Publikováno v:
Mathematics, Vol 12, Iss 11, p 1668 (2024)
The aim of the paper is to present two results concerning real hypersurfaces in the six-dimensional sphere S6(1). More precisely, we prove that real hypersurfaces with the Lie-parallel shape operator A must be totally geodesic hyperspheres. Additiona
Externí odkaz:
https://doaj.org/article/28419ae6c6bf4021a6604e923ec8da48
Autor:
Du Li
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 1299-1314 (2021)
In this paper, f-biharmonic submanifolds with parallel normalized mean curvature vector field in Lorentz space forms are discussed. When ff is a constant, we prove that such submanifolds have parallel mean curvature vector field with the minimal poly
Externí odkaz:
https://doaj.org/article/50cf383c73324f518bc174b447cef30c
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