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Geometric structures over non-reductive homogeneous 4-spaces
-
G. Calvaruso
and
A. Zaeim
Published/Copyright:
April 1, 2014
Abstract
We investigate the geometric properties of four-dimensional non-reductive pseudo- Riemannian manifolds admitting an invariant metric of signature (2; 2). In particular, we obtain the classification of Walker structures, self-dual and anti-self-dual metrics and para-Hermitian structures for all the invariant metrics of these manifolds. For the examples admitting an invariant parallel null plane distribution, we shall also obtain an explicit description of the invariant metrics in canonical Walker coordinates.
Keywords : Non-reductive homogeneous spaces; pseudo-Riemannian metrics; Walker structures; para-Hermitian structures; (anti-)self-dual metrics
Published Online: 2014-4-1
Published in Print: 2014-3-1
©2014 by Walter de Gruyter Berlin/Boston
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Keywords for this article
Non-reductive homogeneous spaces;
pseudo-Riemannian metrics;
Walker structures;
para-Hermitian structures;
(anti-)self-dual metrics
Articles in the same Issue
- Masthead
- Geometric structures over non-reductive homogeneous 4-spaces
- On a reverse Petty projection inequality for projections of convex bodies
- Generic properties of homogeneous Ricci solitons
- On the classification of convex lattice polytopes (II)
- Idempotent tropical matrices and finite metric spaces
- Legendre duality on hypersurfaces in Kähler manifolds
- An upper bound on the volume of the symmetric difference of a body and a congruent copy
- Cubic tessellations of the didicosm
- Isometries of complemented sub-Riemannian manifolds
- The isomorphism problem for linear representations and their graphs The isomorphism problem for linear representations and their graphs
- Translation ovoids of unitary polar spaces
