Curvature Measures of Singular Sets

Curvature Measures of Singular Sets

English | ISBN: 3030181820 | 2019 | 256 Pages | EPUB, PDF | 16 MB

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. The measures under consideration form a complete system of certain Euclidean invariants. Techniques of geometric measure theory, in particular, rectifiable currents are applied, and some important integral-geometric formulas are derived. Moreover, an approach to curvatures for a class of fractals is presented, which uses approximation by the rescaled curvature measures of small neighborhoods. The book collects results published during the last few decades in a nearly comprehensive way.


[Fast Download] Curvature Measures of Singular Sets

Related eBooks:
Explainable AI: Interpreting, Explaining and Visualizing Deep Learning
Emotional Design in Human-Robot Interaction: Theory, Methods and Applications
Nonlinear Expectations and Stochastic Calculus under Uncertainty: with Robust CLT and G-Brownian Mot
Blow-Up in Nonlinear Equations of Mathematical Physics : Theory and Methods
Robotic Building
Proof!: How the World Became Geometrical
The Nature of Mathematical Modeling
Realism in Mathematics
Introduction to the Mori Program
Mathematical Aspects of Classical and Celestial Mechanics
Practical Optimization
STEM and ICT Education in Intelligent Environments
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.