From symplectic and contact geometry to dynamical systems : The Lichnerowicz cohomology as an intersting generalisation of De Rham usual cohomology
Language: English
Published by LAP LAMBERT Academic Publishing, 2010
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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nach der Bestellung gedruckt Neuware - Printed after ordering - In this work, we study the Lichnerowicz cohomology of a differentiable manifold M. It is the cohomology of the differential forms on M with the differential of de Rham d deformed by a closed 1-form w, namely, d is replaced by dw = d + w^. This cohomology is very different from the de Rham cohomology when w is not exact. The importance of Lichnerowicz cohomology comes from the fact that it is a tool adapted to the study of the locally conformal symplectic manifolds. It also intervenes in the study of Riemannian flows. We give a complete proof of Kunneth formula and we use this formula to find new examples of trivial and nontrivial Lichnerowicz cohomology groups. We also prove the Leray-Hirsch theorem for Lichnerowicz cohomology. This Theorem is a generalization of the Kunneth formula to fiber bundles. We introduce the Lichnerowicz basic cohomology and use the Gysin exact sequence of Riemannian flow F on a differentiable manifold M to calculate the Lichnerowicz basic cohomology H_w(M,F) where w is the mean curvature form of the flow F.…
Seller Inventory # 9783843364676
- Title
- From symplectic and contact geometry to dynamical systems : The Lichnerowicz cohomology as an intersting generalisation of De Rham usual cohomology
- Author
- Hassan Ait Haddou
- Publisher
- LAP LAMBERT Academic Publishing
- Publication year
- 2010
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3843364672
- ISBN 13
- 9783843364676
- Item weight
- 143 grams
- Dimensions
- 220x150x6 mm
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