Results 31 to 40 of about 468 (64)

Riemannian invariants for warped product submanifolds in Qεm×R{{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}} and their applications

open access: yesOpen Mathematics
This article investigates the geometric and topologic of warped product submanifolds in Riemannian warped product Qεm×R{{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}}.
Li Yanlin, Alshehri Norah, Ali Akram
doaj   +1 more source

Connections on Metriplectic Manifolds [PDF]

open access: yesarXiv, 2006
In this note we discuss conditions under which a linear connection on a manifold equipped with both a symmetric (Riemannian) and a skew-symmetric (almost-symplectic or Poisson) tensor field will preserve both structures.
arxiv  

Lifts of Almost r-Contact and r-Paracontact Structures [PDF]

open access: yesarXiv, 2009
In this study, taking into considering lifting theory, we shall obtain both almost complex and paracomplex structures on the tangent bun- dle, based on almost Lorentzian r-contact and r-paracontact manifold.
arxiv  

Universal Models via Embedding and Reduction for Locally Conformal Symplectic Structures [PDF]

open access: yes, 2010
We obtain universal models for several types of locally conformal symplectic manifolds via pullback or reduction. The relation with recent embedding results for locally conformal K\"ahler manifolds is discussed.
arxiv   +1 more source

On vector fields having properties of Reeb fields [PDF]

open access: yesarXiv, 2011
We study constructions of vector fields with properties which are characteristic to Reeb vector fields of contact forms. In particular, we prove that all closed oriented odd-dimensional manifold have geodesible vector fields.
arxiv  

Real Hypersurfaces of Non - Flat Complex Planes in Terms of the Jacobi Operators [PDF]

open access: yesarXiv, 2012
The aim of the present paper is the study of real hypersurfaces equipped with the condition $\phi l = l \phi$, $l = R(., \xi, \xi)$.
arxiv  

Real Hypersurfaces of Non-Flat Complex Space Forms in Terms of the Jacobi Structure Operator [PDF]

open access: yesarXiv, 2012
The aim of the present paper is the study of some classes of real hypersurfaces equipped with the condition \phi l = l \phi, (l = R(., \xi, \xi))
arxiv  

Almost contact curves in trans-Sasakian 3-manifolds [PDF]

open access: yesarXiv, 2013
This paper is devoted to the study of curvature and torsion of almost contact curves in trans-Sasakian 3-Manifolds. The conditions for the frenet curves to be almost contact curves in trans-Sasakian 3-manifolds have been obtained.
arxiv  

On a class of paracontact metric 3-manifolds [PDF]

open access: yesarXiv, 2014
The purpose of this paper is to classify paracontact metric $3$-manifolds $M^3$ such that the Ricci operator $S$ commutes with the endomorhism $\phi$ of its tangent bundle $\Gamma(TM^3)$.
arxiv  

Almost Contact Metric Structures Induced by $G_2$ Structures [PDF]

open access: yesarXiv, 2016
We study almost contact metric structures induced by 2-fold vector cross products on manifolds with $G_2$ structures. We get some results on possible classes of almost contact metric structures. Finally we give examples.
arxiv  

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