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Positive Curvature Property for Sub-Laplacian on Nilpotent Lie Group of Rank Two

✍ Scribed by Bin Qian


Book ID
120759714
Publisher
Springer Netherlands
Year
2013
Tongue
English
Weight
426 KB
Volume
39
Category
Article
ISSN
0926-2601

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This paper reveals that the sub-Laplacian LO on two step stratified Lie groups has a Himilar behavior like elliptic operators on the Euclidean space, that is, the sub-Laplacian satisfies a ~I o u p elliptic estimate, called the Gelliptic estimate (or the L P -regularity), and the general left hivari