A. Rod Gover

Publications (5)0.69 Total impact

• Source

  Available from: ArXiv

  Article: Some differential complexes within and beyond parabolic geometry

  Robert L. Bryant, Michael G. Eastwood, A. Rod Gover, Katharina Neusser
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  ABSTRACT: 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 that of a parabolic geometry, our complexes coincide with the Bernstein-Gelfand-Gelfand complex associated with the trivial representation. However, at least in the cases we discuss, our constructions are relatively simple and avoid most of the machinery of parabolic geometry. Moreover, our method extends to certain geometries beyond the parabolic realm.
  12/2011;
• Source

  Available from: imath.kiev.ua

  Article: The BGG Complex on Projective Space

  Michael G. Eastwood, A. Rod Gover
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  ABSTRACT: We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
  06/2011;
• Source

  Available from: ArXiv

  Article: The Research of Thomas P. Branson

  Michael G. Eastwood, A. Rod Gover
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  ABSTRACT: 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 of recording his bibliography. Thomas Branson was on the Editorial Board of SIGMA and we are pleased that SIGMA is able to publish the Proceedings.
  05/2008;
• Source

  Available from: ArXiv

  Article: Formal Adjoints and a Canonical Form for Linear Operators

  Michael G. Eastwood, A. Rod Gover
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  ABSTRACT: We describe a canonical form for linear differential operators that are formally self-adjoint or formally skew-adjoint.
  08/2006;
• Source

  Available from: gigapaper.ir

  Article: The Funk transform as a Penrose transform

  TOBY N.  BAILEY , MICHAEL G.  EASTWOOD , A. ROD  GOVER , LIONEL J.  MASON 
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  ABSTRACT: The Funk transform is the integral transform from the space of smooth even functions on the unit sphere S2[subset or is implied by][open face R]3 to itself defined by integration over great circles. One can regard this transform as a limit in a certain sense of the Penrose transform from [open face C][open face P]2 to [open face C][open face P]*ast;2. We exploit this viewpoint by developing a new proof of the bijectivity of the Funk transform which proceeds by considering the cohomology of a certain involutive (or formally integrable) structure on an intermediate space. This is the simplest example of what we hope will prove to be a general method of obtaining results in real integral geometry by means of complex holomorphic methods derived from the Penrose transform.
  Mathematical Proceedings of the Cambridge Philosophical Society 12/1998; 125(01):67 - 81. · 0.69 Impact Factor