Overview
- Presents results of the last few decades on singular curvature theory and integral geometry in a nearly comprehensive way
- Includes the necessary facts from geometric measure theory in a separate chapter
- Presents approaches that will help researchers achieve further progress in the field
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (10 chapters)
Keywords
About this book
Reviews
“The monograph is well-written and the main concepts are clearly explained and presented. The contents are a comprehensive collection of results published during the last decades. The material is accessible to graduate students with a good background in geometric measure theory, convex analysis, and differential geometry. For researchers the volume is attractive for its overall point-of-view and the broad presentation of the subject.” (Peter Massopust, zbMATH 1423.28001, 2019)
Authors and Affiliations
About the authors
Jan Rataj, born in 1962 in Prague, studied at Charles University in Prague and defended his PhD at the Mathematical Institute of the Czech Academy of Sciences in 1991. He has been affiliated to Charles University in Prague since 1992, as full professor since 2000. He is the author of approximately 55 publications (on probability theory, stochastic geometry, mathematical analysis, differential and integral geometry).
Martina Zähle, born in1950, obtained her Diploma in 1973 from Moscow State University. She received a PhD in 1978 and Habilitation in 1982 from the Friedrich Schiller University Jena where she has also held the Chair of Probability Theory in 1988, and Geometry in 1991. She has co-edited the proceedings of the international conference series ‘’Fractal Geometry and Stochastics I -V’’, published by Birkhäuser and is the author of more than 100 publications (on geometric integration theory, fractal geometry, stochastic geometry, potential analysis, fractional calculus and (s)pde).
Bibliographic Information
Book Title: Curvature Measures of Singular Sets
Authors: Jan Rataj, Martina Zähle
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-18183-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-18182-6Published: 06 July 2019
Softcover ISBN: 978-3-030-18185-7Published: 14 August 2020
eBook ISBN: 978-3-030-18183-3Published: 22 June 2019
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XI, 256
Number of Illustrations: 6 b/w illustrations, 7 illustrations in colour
Topics: Global Analysis and Analysis on Manifolds, Measure and Integration, Convex and Discrete Geometry, Differential Geometry