یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 203-218) and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
The Isoperimetric Problem in Euclidean Space -- The Heisenberg Group and Sub-Riemannian Geometry -- Applications of Heisenberg Geometry -- Horizontal Geometry of Submanifolds -- Sobolev and BV Spaces -- Geometric Measure Theory and Geometric Function Theory -- The Isoperimetric Inequality in? -- The Isoperimetric Profile of? -- Best Constants for Other Geometric Inequalities on the Heisenberg Group.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
"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 time in one location the various known partial results and methods of attack on Pansu's problem. As such it serves simultaneously as an introduction to the area for graduate students and beginning researchers, and as a research monograph focused on the isoperimetric problem suitable for experts in the area."--Jacket.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Springer
شماره انبار
978-3-7643-8132-5
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Introduction to the Heisenberg Group and the sub-Riemannian isoperimetric problem.