防锈 发表于 2025-3-27 00:41:14

Übereinkommen, betreffend die AusweisbücherIn this chapter we review the definitions of Sobolev spaces, BV functions and perimeter of a set relative to the sub-Riemannian structure of ℍ. These notions are crucial for the development of sub-Riemannian geometric measure theory. Our treatment here is brief, focusing only on those aspects most relevant for the isoperimetric problem.

libertine 发表于 2025-3-27 03:18:38

Übereinkommen, betreffend die AusweisbücherThe isoperimetric inequality in ℍ with respect to the horizontal perimeter was first proved by Pansu. We first state it in the setting of . sets.

大范围流行 发表于 2025-3-27 08:56:24

Horizontal Geometry of Submanifolds,This chapter is devoted to the study of the sub-Riemannian geometry of codimension 1 smooth submanifolds of the Heisenberg group.

不要严酷 发表于 2025-3-27 10:21:44

http://reply.papertrans.cn/16/1556/155553/155553_34.png

运动的我 发表于 2025-3-27 17:28:06

,The Isoperimetric Inequality in ℍ,The isoperimetric inequality in ℍ with respect to the horizontal perimeter was first proved by Pansu. We first state it in the setting of . sets.

cogitate 发表于 2025-3-27 19:40:13

http://reply.papertrans.cn/16/1556/155553/155553_36.png

生锈 发表于 2025-3-28 01:52:57

https://doi.org/10.1007/978-3-7643-8133-2Cauchy-Riemann manifold; Riemannian geometry; Sobolev space; contact geometry; differential geometry; evo

blight 发表于 2025-3-28 02:10:04

http://reply.papertrans.cn/16/1556/155553/155553_38.png

CT-angiography 发表于 2025-3-28 07:01:41

Luca Capogna,Scott D. Pauls,Donatella Danielli,JerPresents a detailed description of Heisenberg submanifold geometry and geometric measure theory.Collects for the first time the various known partial results and methods of attack on Pansu‘s problem.I

Etching 发表于 2025-3-28 13:07:59

Progress in Mathematicshttp://image.papertrans.cn/a/image/155553.jpg
页: 1 2 3 [4] 5
查看完整版本: Titlebook: An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem; Luca Capogna,Scott D. Pauls,Donatella Danielli,Jer B