Results 1 to 10 of about 8,232 (21)
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 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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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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Instantons on the six-sphere and twistors [PDF]
, 2012 We consider the six-sphere S^6=G_2/SU(3) and its twistor space Z=G_2/U(2) associated with the SU(3)-structure on S^6. It is shown that a Hermitian Yang-Mills connection (instanton) on a smooth vector bundle over S^6 is equivalent to a flat partial ...
Lechtenfeld, Olaf, Popov, Alexander D.
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Integrable Background Geometries [PDF]
, 2014 This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable geometric structure, governed
Calderbank, David M. J.
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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
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Geometric Model for Complex Non-Kaehler Manifolds with SU(3) Structure [PDF]
, 2004 For a given complex n-fold M we present an explicit construction of all complex (n+1)-folds which are principal holomorphic T2-fibrations over M. For physical applications we consider the case of M being a Calabi-Yau 2-fold.
Becker +18 more
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Iterated Differential Forms II: Riemannian Geometry Revisited
, 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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About Twistor Spinors with Zero in Lorentzian Geometry [PDF]
, 2009 We describe the local conformal geometry of a Lorentzian spin manifold $(M,g)$ admitting a twistor spinor $\phi$ with zero. Moreover, we describe the shape of the zero set of $\phi$. If $\phi$ has isolated zeros then the metric $g$ is locally conformally
Leitner, Felipe
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