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Conexiones de ambrose-singer y estructuras homogéneas en variedades pseudo-riemannianas
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The article was published on 2014-01-01 and is currently open access. It has received 3 citations till now.read more
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Homogeneous quaternionic Kaehler structures and quaternionic hyperbolic space
TL;DR: In this paper, an explicit classification of homogeneous quaternionic Kaehler structures by real tensors is derived and the authors relate this to the representation-theoretic description found by Fino.
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The Ambrose-Singer Theorem for general homogeneous manifolds with applications to symplectic geometry
TL;DR: The main result of as mentioned in this paper provides a characterization of reductive locally homogeneous spaces equipped with some geometric structure (non necessarily pseudo-Riemannian) in terms of the existence of certain connection.
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The Ambrose–Singer Theorem for General Homogeneous Manifolds with Applications to Symplectic Geometry
TL;DR: In this article , the main theorem of reductive locally homogeneous spaces is generalized to Riemannian spaces and generalized to almost symplectic, Fedosov, and almost symmetric spaces.
References
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Book
Differential Geometry, Lie Groups, and Symmetric Spaces
TL;DR: In this article, the structure of semisimplepleasure Lie groups and Lie algebras is studied. But the classification of simple Lie algesbras and of symmetric spaces is left open.
Book
Riemannian Geometry of Contact and Symplectic Manifolds
TL;DR: In this article, the authors describe a complex geometry model of Symplectic Manifolds with principal S1-bundles and Tangent Sphere Bundles, as well as a negative Xi-sectional Curvature.
Book
Theory of group representations and applications
A. O. Barut,Ryszard Raczka +1 more
TL;DR: The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder as discussed by the authors, and is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations.
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Complex Analytic Coordinates in Almost Complex Manifolds
A. Newlander,Louis Nirenberg +1 more
TL;DR: A manifold is called a complex manifold if it can be covered by coordinate patches with complex coordinates in which the coordinates in overlapping patches are related by complex analytic transformations as mentioned in this paper, and a manifold can be called almost complex if there is a linear transformation J defined on the tangent space at every point, and varying differentiably with respect to local coordinates.