@article{4212adee6c414d0b82737702c098a037,
title = "Uniqueness of Curvature Measures in Pseudo-Riemannian Geometry",
abstract = "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 K{\"u}nneth-type formula for Lipschitz–Killing curvature measures, and to classify the invariant generalized valuations and curvature measures on all isotropic pseudo-Riemannian space forms.",
keywords = "Curvature measure, Lipschitz–Killing measures, Pseudo-Riemannian manifolds, Valuation, Weyl principle",
author = "Andreas Bernig and Dmitry Faifman and Gil Solanes",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s).",
year = "2021",
month = dec,
doi = "10.1007/s12220-021-00702-4",
language = "אנגלית",
volume = "31",
pages = "11819--11848",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer New York",
number = "12",
}