Proceedings of the Centre for Mathematics and its Applications

Lectures on Geometric Measure Theory

Author: Leon Simon

Proceedings information

Author
Leon Simon

Conference
Lectures on Geometric Measure Theory
January 1, 1983
Institut für Angewandte Mathematik, Heidelberg University ; Centre for Mathematical Analysis, Australian National University, Canberra

Publication information
Proceedings of the Centre for Mathematical Analysis, Vol 3
Canberra AUS: Centre for Mathematical Analysis, The Australian National University, 1984
vii, 272 pp.

Dates
First available in Project Euclid: 19 November 2014

Permanent link to this proceedings volume
https://projecteuclid.org/euclid.pcma/1416406261

ISBN:
0-86784-429-9

Mathematical Reviews (MathSciNet):
MR0756417

Rights
Copyright © 1984, Centre for Mathematical Analysis, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

Citation
Lectures on Geometric Measure Theory. Leon Simon. Proceedings of the Centre for Mathematical Analysis, v. 3. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1984)

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Abstract

These notes grew out of lectures given by the author at the Institut für Angewandte Mathematik, Heidelberg University, and at the Centre for Mathematical Analysis, Australian National Unviersity

A central aim was to give the basic ideas of Geometric Measure Theory in a style readily accessible to analysts. I have tried to keep the notes as brief as possible, subject to the constraint of covering the really important and central ideas. There have of course been omissions; in an expanded version of these notes (which I hope to write in the near future), topics which would obviously have a high priority for inclusion are the theory of flat chains, further applications of G.M.T. to geometric variational problems, P.D.E. aspects of the theory, and boundary regularity theory.