TY  - JOUR
A1  - Bernig, Andreas
A1  - Faifman, Dmitry
A1  - Solanes, Gil
T1  - Uniqueness of Curvature Measures in Pseudo-Riemannian Geometry
T2  - The journal of geometric analysis
N2  - The recently introduced Lipschitz–Killing curvature measures on pseudo-Riemannian manifolds satisfy a Weyl principle, i.e. are invariant under isometric embeddings. We show that they are uniquely characterized by this property. We apply this characterization to prove a Künneth-type formula for Lipschitz–Killing curvature measures, and to classify the invariant generalized valuations and curvature measures on all isotropic pseudo-Riemannian space forms.
KW  - Valuation
KW  - Curvature measure
KW  - Weyl principle
KW  - Lipschitz–Killing measures
KW  - Pseudo-Riemannian manifolds
Y1  - 2021
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/63610
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-636109
SN  - 1559-002X
N1  - A.B. was supported by DFG grant BE 2484/5-2. D.F. was partially supported by an NSERC Discovery Grant. G.S. was supported by FEDER/MICINN grant PGC2018-095998-B-I00 and the Serra Húnter Programme. Open Access funding enabled and organized by Projekt DEAL.
VL  - 31
IS  - 12
SP  - 11819
EP  - 11848
PB  - Springer
CY  - New York, NY
ER  -