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On Gradient Estimates of the Heat Semigroups on Step-Two Carnot Groups

Potential Analysis
In this work, we give a sufficient condition for a step-two Carnot group to satisfy the quasi Bakry–Émery curvature condition. As an application, we establish the gradient estimate for the heat semigroup on the free step-two Carnot group with three ...
Sheng-Chen Mao, Ye Zhang
semanticscholar   +1 more source

Liouville-Type Theorems for CC-F-Harmonic Maps into a Carnot Group

Journal of Geometric Analysis, 2020
Guoqing He, Jing Li, P. Zhao
semanticscholar   +1 more source

Openness and Discreteness of Mappings of Finite Distortion on Carnot Groups

Siberian mathematical journal, 2023
S. Basalaev, S. K. Vodopyanov
semanticscholar   +1 more source

Submanifolds in Carnot Groups

2008
The book is devoted to the study of submanifolds in the setting of Carnot groups equipped with a sub-Riemannian structure; particular emphasis is given to the case of Heisenberg groups. A Geometric Measure Theory viewpoint is adopted, and features as intrinsic perimeters, Hausdorff measures, area formulae, calibrations and minimal surfaces are ...
openaire   +1 more source

Cancer statistics for African American/Black People 2022

Ca-A Cancer Journal for Clinicians, 2022
Angela Giaquinto   +2 more
exaly  

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