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Legendre duality on hypersurfaces in Kähler manifolds
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V. Martino
Published/Copyright:
April 1, 2014
Abstract
We give a sufficient condition on real strictly Levi-convex hypersurfaces M, embedded in four-dimensional Kähler manifolds V , such that Legendre duality can be performed. We consider the contact form θ on M whose kernel is the restriction of the holomorphic tangent space of V and show that if there exists a Legendrian Killing vector field ν, then the dual form β ( · ) := dθ(ν; · ) is a contact form on M with the same orientation than θ.
Published Online: 2014-4-1
Published in Print: 2014-3-1
©2014 by Walter de Gruyter Berlin/Boston
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- Geometric structures over non-reductive homogeneous 4-spaces
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- On the classification of convex lattice polytopes (II)
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- The isomorphism problem for linear representations and their graphs The isomorphism problem for linear representations and their graphs
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