Overview
- Features contributions from world leading experts in differential geometry
- Contains survey and research papers on parabolic geometry, cone constructions, supergravity
- Includes applications to Einstein spaces, Ricci solitons, gravitational instantons, string theory
Part of the book series: Abel Symposia (ABEL, volume 16)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (13 papers)
-
Front Matter
Keywords
About this book
The chapters are written by leading international researchers, and consist of both survey and research articles. The book gives the reader an insight into the current research in differential geometry and Lie theory, as well as applications of these topics, in particular to general relativity and string theory.
Editors and Affiliations
About the editors
Boris Kruglikov is a professor in mathematics at the Department of Mathematics and Statistics at UiT the Arctic University of Norway, and professor II at the University of Stavanger, Norway. His research is on intersection of differential geometry, Lie theory and mathematical physics. This includes very general geometries like projective and conformal, almost complex and vector distributions, obtained by (possibly higher order) reductions and (possibly nonholonomic) constraints. The basic questions deal with symmetry algebras and Lie pseudogroups, integrability properties of differential equations and differential invariants of geometric structures.
Irina Markina is a professor of mathematics at the Department of Mathematics at the University of Bergen, Norway. Her areas of interest belong to differential geometry, real analysis, and partial differential equations. The focus of research is sub-Riemannian geometry and closely related theory of hypo-elliptic and sub-elliptic partial differential equations, which play a role analogous to that of elliptic operators on Riemannian manifolds. She also published results in the fields of integrable systems, Lie groups and Lie algebras, as well as non-linear potential theory and quasi-conformal analysis.
Dennis The is an associate professor of mathematics at the Department of Mathematics and Statistics at UiT the Arctic University of Norway. His research interests lie at the intersection of differential geometry and representation theory, and are strongly influenced by ideas from Lie theory, Cartan geometry, and Tanaka theory. He focuses on equivalence and symmetry for numerous geometric structures, in particular those arising in the context of parabolic geometries (e.g. conformal, CR, vector distributions) and the geometry of differential equations.
Bibliographic Information
Book Title: Geometry, Lie Theory and Applications
Book Subtitle: The Abel Symposium 2019
Editors: Sigbjørn Hervik, Boris Kruglikov, Irina Markina, Dennis The
Series Title: Abel Symposia
DOI: https://doi.org/10.1007/978-3-030-81296-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-030-81295-9Published: 08 February 2022
Softcover ISBN: 978-3-030-81298-0Published: 08 February 2023
eBook ISBN: 978-3-030-81296-6Published: 07 February 2022
Series ISSN: 2193-2808
Series E-ISSN: 2197-8549
Edition Number: 1
Number of Pages: XII, 330
Number of Illustrations: 3 b/w illustrations, 21 illustrations in colour
Topics: Geometry, Topological Groups, Lie Groups, Differential Geometry, Global Analysis and Analysis on Manifolds, Classical and Quantum Gravitation, Relativity Theory