Contact
How to shop
Delivery
Shopping guide
Lectures on Nonsmooth Differential Geometry
English
194 b
Customers also purchased
/
Paperback
25.46
€
49.80 лв
This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order calculus on spaces - known as RCD spaces - satisfying a synthetic lower Ricci curvature bound. Examples of the main topics covered include notions of Sobolev space on abstract metric measure spaces; normed modules, which constitute a convenient technical tool for the introduction of a robust differential structure in the nonsmooth setting; first-order differential operators and the corresponding functional spaces; the theory of heat flow and its regularizing properties, within the general framework of "e;infinitesimally Hilbertian"e; metric measure spaces; the RCD condition and its effects on the behavior of heat flow; and second-order calculus on RCD spaces. The book is mainly intended for young researchers seeking a comprehensive and fairly self-contained introduction to this active research field. The only prerequisites are a basic knowledge of functional analysis, measure theory, and Riemannian geometry.
About the book
English
Give this book today
It's easy
1 Add to cart and choose Deliver as present at the checkout 2 We'll send you a voucher 3 The book will arrive at the recipient's addressYou might also be interested in
/
Adobe ePub DRM
18.17
€
35.54 лв
/
Paperback
70.91
€
138.69 лв
/
Paperback
28.34
€
55.43 лв
/
Paperback
3.33
€
6.52 лв
/
Paperback
92.07
€
180.07 лв
Hi! I'm Libroamiko, your book advisor.
How can I help you?