Results 31 to 40 of about 1,397 (85)

A new class of non-Kähler metrics

Complex Manifolds
We study the stability at blow-ups and deformations of a class of Hermitian metrics whose fundamental two-form ω\omega satisfies the condition ∂∂¯ωk=0\partial \bar{\partial }{\omega }^{k}=0, for any kk between 1 and n−1n-1 (where nn is the complex ...
Ciulică Cristian
doaj   +1 more source

Essential points of conformal vector fields

, 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, Moroianu, Andrei, Ornea, Liviu   +2 more
core   +1 more source

Locally conformal symplectic manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 521-536, 1985., 1985
A locally conformal symplectic (l. c. s.) manifold is a pair (M2n, Ω) where M2n(n > 1) is a connected differentiable manifold, and Ω a nondegenerate 2‐form on M such that (Uα‐ open subsets). , σα : Uα → ℝ, dΩα = 0. Equivalently, dΩ = ω∧Ω for some closed 1‐form ω. L. c. s.
Izu Vaisman
wiley   +1 more source

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

, 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

, 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

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

, 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

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

, 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  

On the structure vector field of a real hypersurface in complex quadric

Open Mathematics, 2018
From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
doaj   +1 more source

On a k-th Gauduchon almost Hermitian manifold

Complex Manifolds, 2022
We characterize the k-th Gauduchon condition and by applying its characterization, we reprove that a compact k-th Gauduchon, semi-Kähler manifold becomes quasi-Kähler, which tells us that in particular, a compact almost pluriclosed, semi-Kähler manifold ...
Kawamura Masaya
doaj   +1 more source

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

, 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