Results 1 to 10 of about 335,081 (104)
Iterated Differential Forms II: Riemannian Geometry Revisited [PDF]
, 2006 A natural extension of Riemannian geometry to a much wider context is presented on the basis of the iterated differential form formalism developed in math.DG/0605113 and an application to general relativity is given.Comment: 12 pages, extended version of
A. M. Vinogradov +6 more
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Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey [PDF]
, 2008 After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted Poisson structure, and of ...
Kosmann-Schwarzbach, Yvette
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The Research of Thomas P. Branson [PDF]
, 2008 The Midwest Geometry Conference 2007 was devoted to the substantial mathematical legacy of Thomas P. Branson who passed away unexpectedly the previous year. This contribution to the Proceedings briefly introduces this legacy. We also take the opportunity
Eastwood, Michael G., Gover, A. Rod
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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
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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
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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
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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
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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
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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
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