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On Gradient Estimates of the Heat Semigroups on Step-Two Carnot Groups
Potential AnalysisIn 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
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Liouville-Type Theorems for CC-F-Harmonic Maps into a Carnot Group
Journal of Geometric Analysis, 2020Guoqing He, Jing Li, P. Zhao
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Composition operators in weighted Sobolev spaces on the Carnot group
Siberian mathematical journal, 2015N. Evseev
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Openness and Discreteness of Mappings of Finite Distortion on Carnot Groups
Siberian mathematical journal, 2023S. Basalaev, S. K. Vodopyanov
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A Nonintegrable Sub-Riemannian Geodesic Flow on a Carnot Group
, 1997R. Montgomery, M. Shapiro, A. Stolin
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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 ...
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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 ...
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Besov Space via Heat Semigroup on Carnot Group and Its Capacity
Journal of Geometric AnalysisN. Zhao, Yu Liu
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Cancer statistics for African American/Black People 2022
Ca-A Cancer Journal for Clinicians, 2022Angela Giaquinto +2 more
exaly

