Results 21 to 30 of about 1,153 (186)

On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds

Demonstratio Mathematica, 2014
After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Gogna Manish, Kumar Rakesh, Nagaich R. K.   +2 more
doaj   +1 more source

Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds

Karpatsʹkì Matematičnì Publìkacìï, 2018
In the present paper,  we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
doaj   +1 more source

Some solitons on anti-invariant submanifold of LP-Kenmotsu manifold admitting Zamkovoy connection [PDF]

Journal of Hyperstructures
In this paper we prove some curvature properties of anti-invariant submanifold of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifolds) with respect to Zamkovoy connection (∇∗).
Abhijit Mandal, Meghlal Mallik
doaj   +1 more source

Inflexible CR submanifolds [PDF]

Mathematische Zeitschrift, 2016
to appear in Math ...
Brinkschulte, Judith, Denson Hill, C.
openaire   +2 more sources

Calibrated Submanifolds [PDF]

, 2020
We provide an introduction to the theory of calibrated submanifolds through the key examples related with special holonomy. We focus on calibrated geometry in Calabi-Yau, G$_2$ and Spin(7) manifolds, and describe fundamental results and techniques in the field.
openaire   +2 more sources

Conformal submanifolds, distinguished submanifolds, and integrability

, 2023
For conformal geometries of Riemannian signature, we provide a comprehensive and explicit treatment of the core local theory for embedded submanifolds of arbitrary dimension. This is based in the conformal tractor calculus and includes a conformally invariant Gauss formula leading to conformal versions of the Gauss, Codazzi, and Ricci equations.
Curry, Sean. N, Gover, A. Rod, Snell, Daniel   +2 more
openaire   +2 more sources

Transcendental submanifolds of Rn

Commentarii Mathematici Helvetici, 1993
5 pages, 1 ...
Akbulut, S., King, H.
openaire   +2 more sources

Conformai deformation of a close Riemannian submanifold to minimal submanifold

Chinese Science Bulletin, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Senlin, Xia, Qinglan
openaire   +2 more sources

Willmore Submanifolds in a sphere [PDF]

Mathematical Research Letters, 2002
Let $x:M\to S^{n+p}$ be an $n$-dimensional submanifold in an $(n+p)$-dimensional unit sphere $S^{n+p}$, $x:M\to S^{n+p}$ is called a Willmore submanifold to the following Willmore functional: $$ \int_M(S-nH^2)^{\frac{n}{2}}dv, $$ where $S=\sum\limits_{α,i,j}(h^α_{ij})^2$ is the square of the length of the second fundamental form, $H$ is the mean ...
openaire   +3 more sources

Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms

Advances in Mathematical Physics, 2021
In this paper, we give an estimate of the first eigenvalue of the Laplace operator on a Lagrangian submanifold Mn minimally immersed in a complex space form.
Lamia Saeed Alqahtani
doaj   +1 more source