Invariant metrics on the tangent bundle of a homogeneous space

P. G. Walczak

Displaying similar documents to “Invariant metrics on the tangent bundle of a homogeneous space”

Invariant metrics on the tangent bundle of a homogeneous space

P. G. Walczak (1978)

Colloquium Mathematicae

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Popescu, Liviu (2003)

Balkan Journal of Geometry and its Applications (BJGA)

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On simple and stable homogeneous bundles

Simona Faini (2006)

Bollettino dell'Unione Matematica Italiana

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In this work we will analyze the relation between the stability and the simplicity of a homogeneous vector bundle on a projective variety. Our main theorem shows that a homogeneous bundle is not destabilized by its homogeneous subbundles if and only if it is the tensor product of a stable homogeneous bundle and an irreducible representation. Then we give an example of a homogeneous bundle, which is simple, but not stable.

The concept of invariant geometry of second order.

Păun, Marius (2002)

Balkan Journal of Geometry and its Applications (BJGA)

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Annales Polonici Mathematici

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Annales Polonici Mathematici

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Invariant connections and invariant holomorphic bundles on homogeneous manifolds

Indranil Biswas, Andrei Teleman (2014)

Open Mathematics

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Let X be a differentiable manifold endowed with a transitive action α: A×X→X of a Lie group A. Let K be a Lie group. Under suitable technical assumptions, we give explicit classification theorems, in terms of explicit finite dimensional quotients, of three classes of objects: equivalence classes of α-invariant K-connections on X α-invariant gauge classes of K-connections on X, andα-invariant isomorphism classes of pairs (Q,P) consisting of a holomorphic Kℂ-bundle Q → X and a K-reduction...

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Janyška, J., Modugno, M. (1996)

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Novi Sad Journal of Mathematics

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Publications de l'Institut Mathématique

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The sudoku bundle

Peter Wilson (2010)

Zpravodaj Československého sdružení uživatelů TeXu

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The sudoku bundle provides a coordinated set of packages for displaying, solving, and generating Sudoku puzzles. This article describes some of the internal aspects of the packages.