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On the geometry of Grassmannian equivalent connections
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Gianni Manno
Published/Copyright:
September 11, 2008
Abstract
We study the geometry of n-Grassmannian equivalent connections, that is linear connections without torsion admitting the same equation of n-dimensional totally geodesic submanifolds. We introduce the n-Grassmannian structure as a distinguished distribution on the Grassmann bundle, and then compute the n-Grassmannian invariants, recovering for n = 1 the projective invariants of Thomas.
Key words.: Higher order Grassmann bundles; Grassmannian invariants; jet spaces; projectively equivalent connections
Accepted: 2006-11-02
Published Online: 2008-09-11
Published in Print: 2008-August
© de Gruyter 2008
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Keywords for this article
Higher order Grassmann bundles;
Grassmannian invariants;
jet spaces;
projectively equivalent connections
Articles in the same Issue
- A rigidity result for domains with a locally strictly convex point
- On the geometry of Grassmannian equivalent connections
- On Lie groups as quasi-Kähler manifolds with Killing Norden metric
- Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold
- A characterization of m-ovoids and i-tight sets of polar spaces
- On Grassmann secant extremal varieties
- Almost del Pezzo manifolds
- Projective models of K3 surfaces with an even set
- Nonrational del Pezzo fibrations
- Principal bundles over a smooth real projective curve of genus zero
