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pro vyhledávání: '"Eastwood, P G"'
Autor:
Eastwood, Michael G., Gover, A. Rod
Suppose $M$ is a compact Riemannian manifold and $p\in M$ an arbitrary point. We employ estimates on the volume growth around $p$ to prove that the only conformal compactification of $M\setminus\{p\}$ is $M$ itself.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/1707.03087
Publikováno v:
Mem. Amer. Math. Soc. 267 (2020), no. 1299, v+137
We develop in detail the theory of c-projective geometry, a natural analogue of projective differential geometry adapted to complex manifolds. We realise it as a type of parabolic geometry and describe the associated Cartan or tractor connection. A K
Externí odkaz:
http://arxiv.org/abs/1512.04516
Autor:
Eastwood, M. G., Isaev, A. V.
We survey our recently proposed method for constructing biholomorphic invariants of quasihomogeneous isolated hypersurface singularities and, more generally, invariants of graded Artinian Gorenstein algebras. The method utilizes certain polynomials a
Externí odkaz:
http://arxiv.org/abs/1402.6049
Autor:
Eastwood, Michael G., Wolf, Joseph A.
We establish a duality within the spectral sequence that governs the holomorphic double fibration transform. It has immediate application to the questions of injectivity and range characterization for this transform. We discuss some key examples and
Externí odkaz:
http://arxiv.org/abs/1202.1541
For smooth manifolds equipped with various geometric structures, we construct complexes that replace the de Rham complex in providing an alternative fine resolution of the sheaf of locally constant functions. In case that the geometric structure is t
Externí odkaz:
http://arxiv.org/abs/1112.2142
Autor:
Eastwood, M. G., Isaev, A. V.
We use classical invariant theory to construct invariants of complex graded Gorenstein algebras of finite vector space dimension. As a consequence, we obtain a way of extracting certain numerical invariants of quasi-homogeneous isolated hypersurface
Externí odkaz:
http://arxiv.org/abs/1110.2559
Autor:
Eastwood, Michael G., Gover, A. Rod
Publikováno v:
SIGMA 7 (2011), 060, 18 pages
We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
Externí odkaz:
http://arxiv.org/abs/1106.4623
Akademický článek
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Autor:
Eastwood, Michael G.
Publikováno v:
SIGMA 5 (2009), 082, 10 pages
The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
Externí odkaz:
http://arxiv.org/abs/0908.1519
Autor:
Eastwood, Michael G., Wolf, Joseph A.
Let $\gg$ be the Lie algebra of a compact Lie group and let $\theta$ be any automorphism of $\gg$. Let $\gk$ denote the fixed point subalgebra $\gg^\theta$. In this paper we present LiE programs that, for any finite dimensional complex representation
Externí odkaz:
http://arxiv.org/abs/0812.0822