Results 31 to 40 of about 675 (48)
Conformality of a differential with respect to Cheeger-Gromoll type metrics [PDF]
arXiv, 2008 We investigate conformality of the differential of a mapping between Riemannian manifolds if the tangent bundles are equipped with a generalized metric of Cheeger-Gromoll type.
arxiv
Differential as a harmonic morphism with respect to Cheeger--Gromoll type metrics [PDF]
arXiv, 2009 We investigate horizontal conformality of a differential of a map between Riemannian manifolds where the tangent bundles are equipped with Cheeger--Gromoll type metrics. As a corollary, we characterize the differential of a map as a harmonic morphism.
arxiv
On a generalized Calabi-Yau equation [PDF]
arXiv, 2009 Dealing with the generalized Calabi-Yau equation proposed by Gromov on closed almost-K\"ahler manifolds, we extend to arbitrary dimension a non-existence result proved in complex dimension 2.
arxiv
A Study of Submanifolds of the Complex Grassmannian Manifold with Parallel Second Fundamental Form [PDF]
arXiv, 2013 We prove an extension of a theorem of A.Ros on a characterization of seven compact Kaehler submanifolds by holomorphic pinching to certain submanifolds of the complex Grassmannian manifolds.
arxiv
A note on vanishing theorems [PDF]
arXiv, 2014 On a Riemannian manifold we define a one-parameter family of Laplacians acting on sections of any bundle associated to the principal frame bundle via a representation, and show how various examples fit into this framework.
arxiv
Riemann-Lagrange geometry for starfish-coral dynamical system [PDF]
Applied Sciences, Vol. 22 (2020), 181-188, 2016 In this paper we develop the Riemann-Lagrange geometry, in the sense of nonlinear connection, d-torsions, d-curvatures and jet Yang-Mills entity, associated with the dynamical system concerning social interaction in colonial organisms.
arxiv
Moduli spaces of Higgs bundles on degenerating Riemann surfaces [PDF]
arXiv, 2015 We prove a gluing theorem for solutions of Hitchin's self-duality equations with logarithmic singularities on a rank-2 vector bundle over a noded Riemann surface representing a boundary point of Teichm\"uller moduli space.
arxiv
Hyperholomorphic connections on coherent sheaves and stability
Open Mathematics, 2011 Verbitsky Misha
doaj +1 more source
Smooth metric measure spaces, quasi-Einstein metrics, and tractors
Open Mathematics, 2012 Case Jeffrey
doaj +1 more source
Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections
Open Mathematics, 2012 Keller Julien +1 more
doaj +1 more source