Results 131 to 140 of about 214,338 (244)

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

Chaotic Geodesics in Carnot Groups

open access: yes, 1997
The group of real 4 by 4 upper triangular matrices with 1s on the diagonal has a left-invariant subRiemannian (or Carnot-Caratheodory) structure whose underlying distribution corresponds to the superdiagonal. We prove that the associated subRiemannian geodesic flow is not completely integrable.
Montgomery, R., Shapiro, M., Stolin, A.
openaire   +2 more sources

Horizontal semiconcavity for the square of Carnot-Carathéodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations [PDF]

open access: yesarXiv
We show that the square of Carnot-Carath\'eodory distance from the origin, in step 2 Carnot groups, enjoys the horizontal semiconcavity (h-semiconcavity) everywhere in the group including the origin. We first give a proof in the case of ideal Carnot groups, based on the simple group structure as well as estimates for the Euclidean semiconcavity.
arxiv  

Exceptional sets for self-similar fractals in Carnot groups [PDF]

open access: green, 2010
Zoltán M. Balogh   +3 more
openalex   +1 more source

Quasilinear equations with source terms on Carnot groups [PDF]

open access: hybrid, 2013
Nguyen Cong Phuc, Igor E. Verbitsky
openalex   +1 more source

Docetaxel-titanate nanotubes enhance radiosensitivity in an androgen-independent prostate cancer model

open access: yesInternational Journal of Nanomedicine, 2017
Céline Mirjolet,1 Julien Boudon,2 Alexis Loiseau,2 Sandy Chevrier,1 Romain Boidot,1 Alexandra Oudot,3 Bertrand Collin,3 Etienne Martin,1 Pattayil Alias Joy,4 Nadine Millot,2 Gilles Créhange1 1Department of Radiation Oncology, Center ...
C Mirjolet   +10 more
doaj  

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