Around heat decay on forms and relations of nilpotent Lie groups

Details Around heat decay on forms and relations of nilpotent Lie groups Around heat decay on forms and relations of nilpotent Lie groups

2001-12-06

arxiv.org/abs/math/0112057v2

Seminaire de theorie spectrale et geometrie de Grenoble, vol 19 (2001), 123-164

Mathematics

Differential Geometry

36 pages; some typos corrected

Scientific paper

One knows that the large time heat decay exponent on a nilpotent group is given by half the growing rate of the volume of its large balls. This work deals with the similar problem of trying to interpret geometrically the heat decay on (one) forms. We will show how it is (partially) related to the depth of the relations required to define the group. The tools used apply in general on Carnot-Caratheodory manifolds.

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