Results 1 to 10 of about 250,111 (340)

Contravariant Curvatures of Doubly Warped Product Poisson Manifolds

Mathematics
In this paper, we investigate the sectional contravariant curvature of a doubly warped product manifold ( fB×bF,g˜,Π=ΠB+ΠF) equipped with a product Poisson structure Π, using warping functions and sectional curvatures of its factor manifolds (B,g˜B,ΠB ...
Foued Aloui, Shyamal Kumar Hui, Ibrahim Al-Dayel   +2 more
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A Liouville Property of Holomorphic Maps

The Scientific World Journal, 2013
We prove a Liouville property of holomorphic maps from a complete Kähler manifold with nonnegative holomorphic bisectional curvature to a complete simply connected Kähler manifold with a certain assumption on the sectional curvature.
Chengjie Yu
doaj   +1 more source

Negative sectional curvature and the product complex structure [PDF]

arXiv, 2006
We prove that a product complex manifold cannot admit a complete K\"ahler metric with sectional curvature $K d$, where $c$ and $d$ are constants. In particular, a product domain in $\C$ cannot cover a compact K\"ahler manifold with negative sectional curvature. On the other hand, we observe that there are complete K\"
arxiv  

Curvature of a class of indefinite globally framed $f$-manifolds

, 2008
We present a compared analysis of some properties of indefinite almost $\mathcal{S}$-manifolds and indefinite $\mathcal{S}$-manifolds. We give some characterizations in terms of the Levi-Civita connection and of the characteristic vector fields. We study
Brunetti, Letizia, Pastore, Anna Maria
core   +2 more sources

Riemannian curvature: variations on different notions of positivity [PDF]

Habilitation thesis, July 2006, Montpellier II University, France, 2006
We study different notions of Riemannian curvatures: The $p$-curvatures which interpolate between the scalar curvature and the sectional curvature, the Gauss-Bonnet-Weyl curvatures form another interpolation from the scalar curvature to the Gauss-Bonnet integrand. We bring out the $(p,q)$-curvatures, which incorporate all the previous curvatures.
arxiv  

CR-submanifolds of a locally conformal Kaehler space form

International Journal of Mathematics and Mathematical Sciences, 1994
(Bejancu [1,2]) The purpose of this paper is to continue the study of CR-submanifolds, and in particular of those of a locally conformal Kaehler space form (Matsumoto [3]).
M. Hasan Shahid
doaj   +1 more source

A special deformation of the metric with no negative sectional curvature of a Riemannian space [PDF]

, 1969
Grigorios Tsagas
openalex   +1 more source

On the pseudohermitian sectional curvature of a strictly pseudoconvex CR manifold [PDF]

arXiv, 2006
We study the pseudohermitian sectional curvature of a CR manifold.
arxiv  

On isometric immersions in Euclidean space of manifolds with non-negative sectional curvatures [PDF]

, 1965
Philip Hartman
openalex   +1 more source

Lorentzian Beltrami-Euler formula and generalized Lorentzian Lamarle formila in R_1^n

Le Matematiche, 2009
In this paper, the sectional curvature of non-degenerate tangent sections of time-like ruled surface with the central ruled surface in n-dimensional Minkowski space, R_1^n  is studied. The relationship between normal sectional curvature and the principal
Soley Ersoy, Murat Tosun
doaj