Results 1 to 10 of about 8,362 (46)

Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey [PDF]

open access: yes, 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
core   +7 more sources

The Research of Thomas P. Branson [PDF]

open access: yes, 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
core   +3 more sources

Conformal Dirichlet-Neumann Maps and Poincar\'e-Einstein Manifolds [PDF]

open access: yes, 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]

open access: yes, 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]

open access: yes, 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]

open access: yes, 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   +3 more sources

Conformal Metrics with Constant Q-Curvature [PDF]

open access: yes, 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

On Gauss-Bonnet Curvatures [PDF]

open access: yes, 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]

open access: yes, 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

open access: yes, 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

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