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Titlebook: An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem; Luca Capogna,Scott D. Pauls,Donatella Danielli,Jer B

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發(fā)表于 2025-3-21 16:24:01 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
影響因子2023Luca Capogna,Scott D. Pauls,Donatella Danielli,Jer
視頻videohttp://file.papertrans.cn/156/155553/155553.mp4
發(fā)行地址Presents 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
學(xué)科分類Progress in Mathematics
圖書封面Titlebook: An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem;  Luca Capogna,Scott D. Pauls,Donatella Danielli,Jer B
影響因子.The past decade has witnessed a dramatic and widespread expansion of interest and activity in sub-Riemannian (Carnot-Caratheodory) geometry, motivated both internally by its role as a basic model in the modern theory of analysis on metric spaces, and externally through the continuous development of applications (both classical and emerging) in areas such as control theory, robotic path planning, neurobiology and digital image reconstruction. The quintessential example of a sub Riemannian structure is the Heisenberg group, which is a nexus for all of the aforementioned applications as well as a point of contact between CR geometry, Gromov hyperbolic geometry of complex hyperbolic space, subelliptic PDE, jet spaces, and quantum mechanics. This book provides an introduction to the basics of sub-Riemannian differential geometry and geometric analysis in the Heisenberg group, focusing primarily on the current state of knowledge regarding Pierre Pansu‘s celebrated 1982 conjecture regarding the sub-Riemannian isoperimetric profile. It presents a detailed description of Heisenberg submanifold geometry and geometric measure theory, which provides an opportunity to collect for the first tim
Pindex Book 2007Latest edition
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Book 2007Latest editionily on the current state of knowledge regarding Pierre Pansu‘s celebrated 1982 conjecture regarding the sub-Riemannian isoperimetric profile. It presents a detailed description of Heisenberg submanifold geometry and geometric measure theory, which provides an opportunity to collect for the first tim
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An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
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發(fā)表于 2025-3-22 07:52:48 | 只看該作者
The Isoperimetric Problem in Euclidean Space,rgil’s saga lies one of the earliest problems in extremal geometric analysis. For the bargain which Dido agrees to with a local potentate is this: she may have that portion of land which she is able to enclose with the hide of a bull. Legend records Dido’s ingenious and elegant solution: cutting the
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https://doi.org/10.1007/978-3-662-26298-6is a variant of what has become known as the classical ... In more precise terms it may be formulated as follows: .. Needless to say, Dido’s solution is correct: the extremal regions are precisely open circular planar discs.
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