Results 11 to 20 of about 63,840 (247)

Holonomy and submanifold geometry [PDF]

, 2002
We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem.
Console, S., Di Scala, Antonio Jose', Olmos, C.   +2 more
core   +5 more sources

Automorphisms of Submanifolds [PDF]

Advances in Difference Equations, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Veronika Chrastinová, Václav Tryhuk   +1 more
openaire   +3 more sources

Infinitesimal variations of submanifolds [PDF]

Ensaios Matemáticos, 2020
This paper deals with the subject of infinitesimal variations of Euclidean submanifolds with arbitrary dimension and codimension. The main goal is to establish a Fundamental theorem for these geometric objects. Similar to the theory of isometric immersions in Euclidean space, we prove that a system of three equations for a certain pair of tensors are ...
Marcos Dajczer, Miguel Ibieta Jimenez
openaire   +3 more sources

Minimal submanifolds

Bulletin of the London Mathematical Society, 2006
In what follows we give a quick tour through the field of minimal submanifolds, starting at the definition and the classical results and ending up with current areas of research.
Colding, Tobias H., Minicozzi II, William P.   +1 more
openaire   +2 more sources

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

Relations between Extrinsic and Intrinsic Invariants of Statistical Submanifolds in Sasaki-Like Statistical Manifolds

Mathematics, 2021
The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained.
Hülya Aytimur, Adela Mihai, Cihan Özgür   +2 more
doaj   +1 more source

A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds

Abstract and Applied Analysis, 2012
We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
doaj   +1 more source

A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds

Axioms, 2019
A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection.
Bang-Yen Chen
doaj   +1 more source

Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds

Arab Journal of Mathematical Sciences, 2014
In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M‾, other than GCR-lightlike product in an ...
Rakesh Kumar, Rachna Rani, Manish Gogna, R.K. Nagaich   +3 more
doaj   +1 more source