Results 11 to 20 of about 339,702 (103)
Conformal Metrics with Constant Q-Curvature [PDF]
, 2007 We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant $Q$-curvature. The problem is variational, and solutions are in general found as critical points of saddle type.
Malchiodi, Andrea
core +8 more sources
Conformal Dirichlet-Neumann Maps and Poincar\'e-Einstein Manifolds [PDF]
, 2007 A conformal description of Poincare-Einstein manifolds is developed: these structures are seen to be a special case of a natural weakening of the Einstein condition termed an almost Einstein structure.
Gover, A. Rod
core +7 more sources
Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds - Characterization and Killing-Field Decomposition [PDF]
, 2009 Given a maximally non-integrable 2-distribution ${\mathcal D}$ on a 5-manifold $M$, it was discovered by P. Nurowski that one can naturally associate a conformal structure $[g]_{\mathcal D}$ of signature (2,3) on $M$.
Hammerl, Matthias, Sagerschnig, Katja
core +7 more sources
Stanilov-Tsankov-Videv Theory [PDF]
, 2007 We survey some recent results concerning Stanilov-Tsankov-Videv theory, conformal Osserman geometry, and Walker geometry which relate algebraic properties of the curvature operator to the underlying geometry of the manifold.Comment: This is a ...
Brozos-Vazquez, M. +8 more
core +6 more sources
Instantons on sine-cones over Sasakian manifolds [PDF]
, 2014 We investigate instantons on sine-cones over Sasaki-Einstein and 3-Sasakian manifolds. It is shown that these conical Einstein manifolds are K"ahler with torsion (KT) manifolds admitting Hermitian connections with totally antisymmetric torsion ...
Bunk, Severin +4 more
core +2 more sources
On Gauss-Bonnet Curvatures [PDF]
, 2007 The $(2k)$-th Gauss-Bonnet curvature is a generalization to higher dimensions of the $(2k)$-dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for $k=1$.
Labbi, Mohammed Larbi
core +4 more sources
Remarks on Contact and Jacobi Geometry [PDF]
, 2016 We present an approach to Jacobi and contact geometry that makes many facts, presented in the literature in an overcomplicated way, much more natural and clear.
Bruce, Andrew James +2 more
core +3 more sources
Geometric Algebras and Extensors
, 2007 This is the first paper in a series (of four) designed to show how to use geometric algebras of multivectors and extensors to a novel presentation of some topics of differential geometry which are important for a deeper understanding of geometrical ...
A. M. MOYA +5 more
core +3 more sources
Differential geometry of rectifying submanifolds [PDF]
, 2016 A space curve in a Euclidean 3-space $\mathbb E^3$ is called a rectifying curve if its position vector field always lies in its rectifying plane. This notion of rectifying curves was introduced by the author in [Amer. Math.
Bang‐Yen Chen
semanticscholar +1 more source