Header

UZH-Logo

Maintenance Infos

Variation of curvatures of subanalytic spaces and Schläfli-type formulas


Bernig, A (2003). Variation of curvatures of subanalytic spaces and Schläfli-type formulas. Annals of Global Analysis and Geometry, 24(1):67-93.

Abstract

We prove a strong variational formula for Lipschitz–Killing curvaturesof subanalytic sets. As corollaries, we reprove the Chern–Gauss–Bonnettheorem and higher Schläfli formulas. The proof of the variationalformula uses normal cycles of subanalytic sets and a new method allowinga reduction from the difficult singular geometry to computations withdifferential forms.

Abstract

We prove a strong variational formula for Lipschitz–Killing curvaturesof subanalytic sets. As corollaries, we reprove the Chern–Gauss–Bonnettheorem and higher Schläfli formulas. The proof of the variationalformula uses normal cycles of subanalytic sets and a new method allowinga reduction from the difficult singular geometry to computations withdifferential forms.

Statistics

Citations

4 citations in Web of Science®
4 citations in Scopus®
Google Scholar™

Altmetrics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:normal cycle - subanalytic set - Schläfli - Lipschitz–Killing curvature - scalar curvature - Einstein equation
Language:English
Date:2003
Deposited On:29 Nov 2010 16:26
Last Modified:05 Apr 2016 13:24
Publisher:Springer
ISSN:0232-704X
Publisher DOI:https://doi.org/10.1023/A:1024269221528
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1990086
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1037.32012

Download

Full text not available from this repository.
View at publisher