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Title
New trends in geometric analysis : Spanish network of geometric analysis 2007-2021 / Antonio Alarcón, Vicente Palmer, César Rosales, editors.
ISBN
9783031399169 (electronic bk.)
3031399161 (electronic bk.)
9783031399152
3031399153
Published
Cham : Springer, [2023]
Copyright
©2023
Language
English
Description
1 online resource (viii, 393 pages) : illustrations (chiefly color).
Item Number
10.1007/978-3-031-39916-9 doi
Call Number
QA360
Dewey Decimal Classification
515/.1
Summary
The aim of this book is to provide an overview of some of the progress made by the Spanish Network of Geometric Analysis (REAG, by its Spanish acronym) since its born in 2007. REAG was created with the objective of enabling the interchange of ideas and the knowledge transfer between several Spanish groups having Geometric Analysis as a common research line. This includes nine groups at Universidad Autónoma de Barcelona, Universidad Autónoma de Madrid, Universidad de Granada, Universidad Jaume I de Castellón, Universidad de Murcia, Universidad de Santiago de Compostela and Universidad de Valencia. The success of REAG has been substantiated with regular meetings and the publication of research papers obtained in collaboration between the members of different nodes. On the occasion of the 15th anniversary of REAG this book aims to collect some old and new contributions of this network to Geometric Analysis. The book consists of thirteen independent chapters, all of them authored by current members of REAG. The topics under study cover geometric flows, constant mean curvature surfaces in Riemannian and sub-Riemannian spaces, integral geometry, potential theory and Riemannian geometry, among others. Some of these chapters have been written in collaboration between members of different nodes of the network, and show the fruitfulness of the common research atmosphere provided by REAG. The rest of the chapters survey a research line or present recent progresses within a group of those forming REAG. Surveying several research lines and offering new directions in the field, the volume is addressed to researchers (including postdocs and PhD students) in Geometric Analysis in the large.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed October 24, 2023).
Series
RSME Springer series ; v. 10. 2509-8896
Available in Other Form
Print version: 9783031399152
Intro
Preface
Contents
Snapshots of Non-local Constrained Mean Curvature-Type Flows
1 Non-local Versus Unconstrained Mean Curvature Flow
1.1 The Classical Mean Curvature Flow
1.2 The Volume-Preserving Version of the Flow
2 The Area-Preserving Curve Shortening Flow
2.1 Evolution of Convex Curves
2.2 Basic Features for the Flow of Embedded Curves
2.3 Towards a Grayson-Type Theorem
2.4 Further Results
3 Volume-Preserving Mean Curvature-Type Flows
3.1 Convex Evolution and Stability Results
3.2 Free Boundary Problems with Rotational Symmetry
