Results 1 to 10 of about 1,343 (37)

On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group [PDF]

open access: yes, 2010
In this note we prove that the Heisenberg group with a left-invariant pseudo-Riemannian metric admits a completely integrable totally geodesic distribution of codimension 1.
Batat, Wafaa, Rahmani, Salima
core   +2 more sources

A remark on the Bismut-Ricci form on 2-step nilmanifolds [PDF]

open access: yes, 2017
In this note we observe that on a 2-step nilpotent Lie group equipped with a left-invariant SKT structure the (1,1)-part of the Bismut-Ricci form is seminegative definite.
Pujia, Mattia, Vezzoni, Luigi
core   +3 more sources

On a Class Almost Contact Manifolds with Norden Metric [PDF]

open access: yes, 2010
Certain curvature properties and scalar invariants of the manifolds belonging to one of the main classes almost contact manifolds with Norden metric are considered.
Teofilova, Marta
core   +2 more sources

Essential points of conformal vector fields

open access: yes, 2010
For a conformal vector field $\xi$ on a Riemannian manifold, we say that a point is essential if there is no local metric in the conformal class for which $\xi$ is Killing. We show that the only essential points are isolated zeros of $\xi$.
Belgun, Florin   +2 more
core   +1 more source

Warped Product CR-Submanifolds in Lorentzian para Sasakian Manifolds [PDF]

open access: yes, 2010
2000 Mathematics Subject Classification: 53C15, 53C40, 53C42.Many research articles have recently appeared exploring existence or non existence of warped product submanifolds in known spaces (cf. [2, 5, 8]). The objective of the present paper is to study
Uddin, Siraj
core  

A construction of symplectic connections through reduction

open access: yes, 2000
We give an elementary construction of symplectic connections through reduction. This provides an elegant description of a class of symmetric spaces and gives examples of symplectic connections with Ricci type curvature, which are not locally symmetric ...
Baguis, P., Cahen, M.
core   +1 more source

Four-dimensional Riemannian manifolds with two circulant structures [PDF]

open access: yes, 2014
We consider a class (M, g, q) of four-dimensional Riemannian manifolds M, where besides the metric g there is an additional structure q, whose fourth power is the unit matrix.
Razpopov, Dimitar
core  

Diffeomorphisms of Stein structures

open access: yes, 2006
We prove that a pseudoholomorphic diffeomorphism between two almost complex manifolds with boundaries satisfying some pseudoconvexity type condition cannot map a pseudoholomorphic disc in the boundary to a single point.
Diederich, Klas, Sukhov, Alexandre
core   +2 more sources

Linear Connections on Normal Almost Contact Manifolds with Norden Metric [PDF]

open access: yes, 2010
Families of linear connections are constructed on almost contact manifolds with Norden metric. An analogous connection to the symmetric Yano connection is obtained on a normal almost contact manifold with Norden metric and closed structural 1-form.
Teofilova, Marta
core   +2 more sources

Extrinsic curvatures of distributions of arbitrary codimension

open access: yes, 2010
In this article, using the generalized Newton transformation, we define higher order mean curvatures of distributions of arbitrary codimension and we show that they agree with the ones from Brito and Naveira (Ann. Global Anal. Geom.
Alías   +17 more
core   +1 more source

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