Curvature Measures of Singular Sets (Springer Monographs in Mathematics)

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en Limba Engleză Carte Hardback – 13 Jul 2019
The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and piecewise smooth submanifolds as special cases.
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ISBN-13: 9783030181826
ISBN-10: 3030181820
Pagini: 220
Dimensiuni: 155 x 235 mm
Ediția: 1st ed. 2019
Editura: Springer
Colecția Springer
Seria Springer Monographs in Mathematics

Locul publicării: Cham, Switzerland

Notă biografică

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).


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