Legendrian cycles and curvatures

DOI10.1007/s12220-014-9506-1zbMath1370.53053arXiv1402.2249OpenAlexW2091328519MaRDI QIDQ253773

Jan Rataj, Martina Zähle

Publication date: 8 March 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2249

zbMATH Keywords

curvature measureconstancy theoremGauss curvature formLegendrian currentrectifiable current

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Length, area, volume, other geometric measure theory (28A75) Integral geometry (53C65)

Cites Work

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• On the normal cycles of subanalytic sets
• The normal cycle of a compact definable set
• Integral and current representation of Federer's curvature measures
• Some remarks on Legendrian rectifiable currents
• Normal cycles of Lipschitz manifolds by approximation with parallel sets.
• Erratum to ``Some remarks on Legendrian rectifiable currents
• General normal cycles and Lipschitz manifolds of bounded curvature
• Normal cycles and curvature measures of sets with d.c. boundary
• Curvature Measures of Subanalytic Sets
• Support functions, projections and Minkowski addition of Legendrian cycles
• Curvatures and currents for unions of sets with positive reach. II

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