Results 21 to 30 of about 61 (61)

Curvature exponent and geodesic dimension on Sard-regular Carnot groups

Analysis and Geometry in Metric Spaces
In this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
doaj   +1 more source

Compactness results for prescribed Webster scalar curvature problem on CR sphere

Advances in Nonlinear Analysis
In this paper we prove some results on the compactness of solutions to the prescribed Webster scalar curvature problem on S3,θ0 $\left({\mathbb{S}}^{3},{\theta }_{0}\right)$ . We first combine blow-up analysis with the subcritical approximation method to
Li Yan, Tang Zhongwei, Zhou Ning
doaj   +1 more source

A note on the diameter of small sub-Riemannian balls

Analysis and Geometry in Metric Spaces
We observe that the diameter of small (in a locally uniform sense) balls in C 1,1 sub-Riemannian manifolds equals twice the radius. We also prove that, when the regularity of the structure is further lowered to C 0, the diameter is arbitrarily close to ...
Di Marco Marco, Somma Gianluca, Vittone Davide   +2 more
doaj   +1 more source

Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ, 2023
Don S, Magnani V.
europepmc   +1 more source

Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. [PDF]

Calc Var Partial Differ Equ, 2023
Magnabosco M, Rossi T.
europepmc   +1 more source

C1,α-rectifiability in low codimension in Heisenberg groups

Analysis and Geometry in Metric Spaces
A natural higher-order notion of C1,α{C}^{1,\alpha }-rectifiability ...
Idu Kennedy Obinna, Maiale Francesco Paolo   +1 more
doaj   +1 more source

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

J Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

Sobolev-to-Lipschitz property on QCD -spaces and applications. [PDF]

Math Ann, 2022
Dello Schiavo L, Suzuki K.
europepmc   +1 more source

Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold. [PDF]

Entropy (Basel), 2023
Feng Q, Li W.
europepmc   +1 more source

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

Calc Var Partial Differ Equ, 2022
Antonelli G, Merlo A.
europepmc   +1 more source