Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups
J. J. Duistermaat, J. A. C. Kolk, V. S. Varadarajan (1983)
Compositio Mathematica
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Displaying similar documents to “An application of the Morse theory to the topology of Lie-groups”
Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups
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Revista Matemática Iberoamericana
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This paper is part of a general program that was originally designed to study the Heat diffusion kernel on Lie groups.
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Rebecca A. Herb (1982)
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Geometry of biinvariant subsets of complex semisimple Lie groups
Gregor Fels, Laura Geatti (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Some groups whose reduced -algebra is simple
M. Bekka, M. Cowling, P. de La Harpe (1994)
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Some relations among volume, intrinsic perimeter and one-dimensional restrictions of functions in Carnot groups
Francescopaolo Montefalcone (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Let be a -step Carnot group. The first aim of this paper is to show an interplay between volume and -perimeter, using one-dimensional horizontal slicing. What we prove is a kind of Fubini theorem for -regular submanifolds of codimension one. We then give some applications of this result: slicing of functions, integral geometric formulae for volume and -perimeter and, making use of a suitable notion of convexity, called, we state a Cauchy type formula for -convex sets. Finally,...