Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Benyounes, M."'
We consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle, study their harmonicity, as sections or as maps. We rewrite these harmonicity equations in terms of the curvatur
Externí odkaz:
http://arxiv.org/abs/2310.11089
We characterise the actions, by holomorphic isometries on a K\"ahler manifold with zero first Betti number, of an abelian Lie group of dim\geq 2, for which the moment map is horizontally weakly conformal (with respect to some Euclidean structure on t
Externí odkaz:
http://arxiv.org/abs/1304.5028
A vector field s on a Riemannian manifold M is said to be harmonic if there exists a member of a 2-parameter family of generalised Cheeger-Gromoll metrics on TM with respect to which s is a harmonic section. If M is a simply-connected non-flat space
Externí odkaz:
http://arxiv.org/abs/1301.6075
We give conditions on the Lee vector field of an almost Hermitian manifold such that any holomorphic map from this manifold into a (1,2)-symplectic manifold must satisfy the fourth-order condition of being biharmonic, hence generalizing the Lichnerow
Externí odkaz:
http://arxiv.org/abs/1204.2104
This article studies the harmonicity of vector fields on Riemannian manifolds, viewed as maps into the tangent bundle equipped with a family of Riemannian metrics. Geometric and topological rigidity conditions are obtained, especially for surfaces an
Externí odkaz:
http://arxiv.org/abs/0809.2725
We show, using two different approaches, that there exists a family of Riemannian metrics on the tangent bundle of a two-sphere, which induces metrics of constant curvature on its unit tangent bundle. In other words, given such a metric on the tangen
Externí odkaz:
http://arxiv.org/abs/0808.1644
We study the geometry of the tangent bundle equipped with a two-parameter family of Riemannian metrics. After deriving the expression of the Levi-Civita connection, we compute the Riemann curvature tensor and the sectional, Ricci and scalar curvature
Externí odkaz:
http://arxiv.org/abs/math/0703059
The absence of interesting harmonic sections for the Sasaki and Cheeger-Gromoll metrics has led to the consideration of alternatives, for example in the form of a two-parameter family of natural metrics shown to relax existence conditions for harmoni
Externí odkaz:
http://arxiv.org/abs/math/0703060
We study harmonic sections of a Riemannian vector bundle whose total space is equipped with a 2-parameter family of metrics which includes both the Sasaki and Cheeger-Gromoll metrics. This enables the theory of harmonic unit sections to be extended t
Externí odkaz:
http://arxiv.org/abs/math/0602049
Publikováno v:
The Rocky Mountain Journal of Mathematics, 2012 Jan 01. 42(3), 791-821.
Externí odkaz:
https://www.jstor.org/stable/44240078
