Differential equations on contact riemannian manifolds
Elisabetta Barletta, Sorin Dragomir (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “New invariants and their application to the equivalence problem”
Differential equations on contact riemannian manifolds
Diabatic limit, eta invariants and Cauchy–Riemann manifolds of dimension 3
Olivier Biquard, Marc Herzlich, Michel Rumin (2007)
Annales scientifiques de l'École Normale Supérieure
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On a construction of the normal Cartan connections for CR-structures
M. Kuranishi (1982-1983)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Quaternionic and para-quaternionic CR structure on (4n+3)-dimensional manifolds
Dmitri Alekseevsky, Yoshinobu Kamishima (2004)
Open Mathematics
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We define notion of a quaternionic and para-quaternionic CR structure on a (4n+3)-dimensional manifold M as a triple (ω1,ω2,ω3) of 1-forms such that the corresponding 2-forms satisfy some algebraic relations. We associate with such a structure an Einstein metric on M and establish relations between quaternionic CR structures, contact pseudo-metric 3-structures and pseudo-Sasakian 3-structures. Homogeneous examples of (para)-quaternionic CR manifolds are given and a reduction construction...
Aspects of parabolic invariant theory
Gover, Rod A.
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A certain family of homogeneous spaces is investigated. Basic invariant operators for each of these structures are presented and some analogies to Levi-Civita connections of Riemannian geometry are pointed out.
Connection induced geometrical concepts
Musilová, Pavla, Musilová, Jana
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Summary: Geometrical concepts induced by a smooth mapping of manifolds with linear connections are introduced, especially the (higher order) covariant differentials of the mapping tangent to and the curvature of a corresponding tensor product connection. As an useful and physically meaningful consequence a basis of differential invariants for natural operators of such smooth mappings is obtained for metric connections. A relation to geometry of Riemannian manifolds is discussed. ...