منابع مشابه
Holomorphic Engel Structures
Recently there has been renewed interest among differential geometers in the theory of Engel structures. We introduce holomorphic analogues of these structures, and pose the problem of classifying projective manifolds admitting them. Besides providing the basic properties of these varieties, we present two series of examples and characterize them by certain positivity conditions on the Engel st...
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We develop a construction of Engel structures on 4– manifolds based on decompositions of manifolds into round handles. This allows us to show that all parallelizable 4–manifolds admit an Engel structure. We also show that, given two Engel manifolds M1, M2 satisfying a certain condition on the characteristic foliations, there is an Engel structure on M1#M2#(S ×S) which is closely related to the ...
متن کاملEngel structures with trivial characteristic foliations
Engel structures on M×S and M×I are studied in this paper, where M is a 3–dimensional manifold. We suppose that these structures have characteristic line fields parallel to the fibres, S or I . It is proved that they are characterized by contact structures on the cross section M , the twisting numbers, and Legendrian foliations on both ends M × ∂I in the case of M × I . AMS Classification 57R25...
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We study holomorphic Poisson manifolds, holomorphic Lie algebroids and holomorphic Lie groupoids from the viewpoint of real Poisson geometry. We give a characterization of holomorphic Poisson structures in terms of the Poisson Nijenhuis structures of Magri-Morosi and describe a double complex which computes the holomorphic Poisson cohomology. A holomorphic Lie algebroid structure on a vector bu...
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The most commonly encountered types of complex analytic G-structures and Cartan geometries cannot have singularities of codimension 2 or more.
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 2013
ISSN: 1139-1138,1988-2807
DOI: 10.1007/s13163-013-0129-z