On non-degenerate real hypersurfaces, graded Lie algebras and Cartan connections
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This article is published in Japanese journal of mathematics. New series.The article was published on 1976-01-01 and is currently open access. It has received 247 citations till now. The article focuses on the topics: Cartan matrix & Real form.read more
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Parabolic Geometries I
TL;DR: The first monograph on parabolic geometry in the literature was published by as discussed by the authors, following several ground-braking results achieved by the authors and their collaborators in the last two decades.
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Variational problems on contact Riemannian manifolds
TL;DR: In this paper, the generalized Tanaka connection for contact Riemannian manifolds generalizing one for nondegenerate, integrable CR manifolds was defined, and the torsion and generalized Tanaka-Webster scalar curvature were defined properly.
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Differential Systems Associated with Simple Graded Lie Algebras
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On the pseudo-conformal geometry of hypersurfaces of the space of n complex variables
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Canonical connections on paracontact manifolds
TL;DR: In this article it was shown that an almost paracontact structure admits a connection with totally skew-symmetric torsion if and only if the Nijenhuis tensor of the structure is skew symmetric and the defining vector field is Killing.
References
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Differential Geometry and Symmetric Spaces
TL;DR: In this article, the classification of symmetric spaces has been studied in the context of Lie groups and Lie algebras, and a list of notational conventions has been proposed.
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