An application of the Morse theory to the topology of Lie-groups

Raoul Bott

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

J. J. Duistermaat, J. A. C. Kolk, V. S. Varadarajan (1983)

Compositio Mathematica

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A geometric classification of Lie groups.

Nicholas T. Varopoulos (2000)

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.

Some remarks on $G$ -actions with sections

Elisa Gage Casini (2000)

Rendiconti del Seminario Matematico della Università di Padova

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An inversion formula for weighted orbital integrals

Rebecca A. Herb (1982)

Compositio Mathematica

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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 $C^{*}$ -algebra is simple

M. Bekka, M. Cowling, P. de La Harpe (1994)

Publications Mathématiques de l'IHÉS

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Some relations among volume, intrinsic perimeter and one-dimensional restrictions of $B V$ functions in Carnot groups

Francescopaolo Montefalcone (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Let $𝔾$ be a $k$ -step Carnot group. The first aim of this paper is to show an interplay between volume and $𝔾$ -perimeter, using one-dimensional horizontal slicing. What we prove is a kind of Fubini theorem for $𝔾$ -regular submanifolds of codimension one. We then give some applications of this result: slicing of $B V_{𝔾}$ functions, integral geometric formulae for volume and $𝔾$ -perimeter and, making use of a suitable notion of convexity, called, we state a Cauchy type formula for $𝔾$ -convex sets. Finally,...

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

A geometric classification of Lie groups.

Some remarks on G -actions with sections

An inversion formula for weighted orbital integrals

Geometry of biinvariant subsets of complex semisimple Lie groups

Some groups whose reduced C * -algebra is simple

Some relations among volume, intrinsic perimeter and one-dimensional restrictions of B V functions in Carnot groups

Some remarks on $G$ -actions with sections

Some groups whose reduced $C^{*}$ -algebra is simple

Some relations among volume, intrinsic perimeter and one-dimensional restrictions of $B V$ functions in Carnot groups