Displaying 481 – 500 of 529

Showing per page

Curvature flows on surfaces

Michael Struwe (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Prompted by recent work of Xiuxiong Chen, a unified approach to the Hamilton-Ricci and Calabi flows on a closed, compact surface is presented, recovering global existence and exponentially fast asymptotic convergence from concentration-compactness results for conformal metrics.

Curvature homogeneity of affine connections on two-dimensional manifolds

Oldřich Kowalski, Barbara Opozda, Zdeněk Vlášek (1999)

Colloquium Mathematicae

Curvature homogeneity of (torsion-free) affine connections on manifolds is an adaptation of a concept introduced by I. M. Singer. We analyze completely the relationship between curvature homogeneity of higher order and local homogeneity on two-dimensional manifolds.

Curvature homogeneous spaces whose curvature tensors have large symmetries

Kazumi Tsukada (2002)

Commentationes Mathematicae Universitatis Carolinae

We study curvature homogeneous spaces or locally homogeneous spaces whose curvature tensors are invariant by the action of “large" Lie subalgebras 𝔥 of 𝔰𝔬 ( n ) . In this paper we deal with the cases of 𝔥 = 𝔰𝔬 ( r ) 𝔰𝔬 ( n - r ) ( 2 r ...

Curvature of hyperkähler quotients

Roger Bielawski (2008)

Open Mathematics

We prove estimates for the sectional curvature of hyperkähler quotients and give applications to moduli spaces of solutions to Nahm’s equations and Hitchin’s equations.

Curvature properties of a semi-symmetric metric connection on S-manifolds

Mehmet Akif Akyol, Aysel Turgut Vanli, Luis M. Fernández (2013)

Annales Polonici Mathematici

In this study, S-manifolds endowed with a semi-symmetric metric connection naturally related with the S-structure are considered and some curvature properties of such a connection are given. In particular, the conditions of semi-symmetry, Ricci semi-symmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated.

Currently displaying 481 – 500 of 529