The Resource Curvature Measures of Singular Sets, by Jan Rataj, Martina Zähle, (electronic resource)

Curvature Measures of Singular Sets, by Jan Rataj, Martina Zähle, (electronic resource)

Label
Curvature Measures of Singular Sets
Title
Curvature Measures of Singular Sets
Statement of responsibility
by Jan Rataj, Martina Zähle
Creator
Contributor
Author
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Rataj, Jan
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • G5oolFcYH2s
  • kIE90Qp5Gg4
Image bit depth
0
LC call number
QA614-614.97
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Zähle, Martina.
  • SpringerLink
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Global analysis
  • Mathematics
  • Discrete groups
  • Global differential geometry
  • Global Analysis and Analysis on Manifolds
  • Measure and Integration
  • Convex and Discrete Geometry
  • Differential Geometry
Label
Curvature Measures of Singular Sets, by Jan Rataj, Martina Zähle, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Edition
1st ed. 2019.
Extent
XI, 256 p. 13 illus., 7 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783030181833
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-18183-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-030-18183-3
Label
Curvature Measures of Singular Sets, by Jan Rataj, Martina Zähle, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Edition
1st ed. 2019.
Extent
XI, 256 p. 13 illus., 7 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783030181833
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-18183-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-030-18183-3

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