Results 21 to 30 of about 29,252 (258)

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

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

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

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

The boundary of an affine invariant submanifold [PDF]

, 2015
We study the boundary of an affine invariant submanifold of a stratum of translation surfaces in a partial compactification consisting of all finite area Abelian differentials over nodal Riemann surfaces, modulo zero area components. The main result is a
M. Mirzakhani, A. Wright
semanticscholar   +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

On a non-Newtonian fluid type equation with variable diffusion coefficient

AIMS Mathematics, 2022
Since the non-Newtonian fluid type equations arise from a broad and in-depth background, many research achievements have been gained from 1980s. Different from the usual non-Newtonian fluid equation, there is a nonnegative variable diffusion in the ...
Huashui Zhan, Yuan Zhi , Xiaohua Niu
doaj   +1 more source

A New Algebraic Inequality and Some Applications in Submanifold Theory

Mathematics, 2021
We give a simple proof of the Chen inequality involving the Chen invariant δ(k) of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality.
Ion Mihai, Radu-Ioan Mihai
doaj   +1 more source

Propagation of singularities around a Lagrangian submanifold of radial points [PDF]

, 2011
Para>This talk discusses the wavefront set of a solution u to Pu = f, where P is a pseudodifferential operator on a manifold with real-valued homogeneous principal symbol p, when the Hamilton vector field corresponding to p is radial on a Lagrangian ...
Nick Haber, A. Vasy
semanticscholar   +1 more source