Results 21 to 30 of about 64 (43)

Analytic torsion of nilmanifolds with (2, 3, 5) distributions

open access: yesAnalysis and Geometry in Metric Spaces
We consider generic rank two distributions on five-dimensional nilmanifolds and show that the analytic torsion of their Rumin complex coincides with the Ray-Singer torsion.
Haller Stefan
doaj   +1 more source

On an evolution equation in sub-Finsler geometry

open access: yesAnalysis and Geometry in Metric Spaces
We study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Garofalo Nicola
doaj   +1 more source

On the role of embeddability in conformal pseudo-hermitian geometry

open access: yesAnalysis and Geometry in Metric Spaces
In this article, we review some recent results about the role of embeddability in conformal CR (Cauchy-Riemann) geometry. We will show how this condition enters in the second variation of the pseudo-hermitian counterpart of the Einstein-Hilbert action ...
Malchiodi Andrea
doaj   +1 more source

C1,α-rectifiability in low codimension in Heisenberg groups

open access: yesAnalysis and Geometry in Metric Spaces
A natural higher-order notion of C1,α{C}^{1,\alpha }-rectifiability ...
Idu Kennedy Obinna   +1 more
doaj   +1 more source

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

open access: yesJ Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

On rectifiable measures in Carnot groups: representation. [PDF]

open access: yesCalc Var Partial Differ Equ, 2022
Antonelli G, Merlo A.
europepmc   +1 more source

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