Curvature measures of pseudo-Riemannian manifolds
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Publication:2151192
DOI10.1515/crelle-2022-0020zbMath1497.53117arXiv1910.09635OpenAlexW2982231294WikidataQ115236867 ScholiaQ115236867MaRDI QIDQ2151192
Gil Solanes, Andreas Bernig, Dmitry Faifman
Publication date: 1 July 2022
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.09635
homogeneous distributionsChern-Gauss-Bonnet theoremgeneralized curvature measuresgeneralized valuationsWeyl principle
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Cites Work
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- Functional properties of Hörmander's space of distributions having a specified wavefront set
- Valuations on manifolds and integral geometry
- Hermitian integral geometry
- The volume blow-up and characteristic classes for transverse, type-changing, pseudo-Riemannian metrics
- Theory of valuations on manifolds. II
- Valuations on manifolds and Rumin cohomology
- Generalized translation invariant valuations and the polytope algebra
- On the conformal geometry of transverse Riemann-Lorentz manifolds
- Ricci curvature of affine connections
- The Gauss-Bonnet theorem for 2-dimensional spacetimes
- Integral and current representation of Federer's curvature measures
- Heat equation and the volume of tubes
- Differential forms on contact manifolds
- Some conjectures on intrinsic volumes of Riemannian manifolds and Alexandrov spaces
- Dual curvature measures in Hermitian integral geometry
- Convolution of valuations on manifolds
- Contact measures in isotropic spaces
- Integral geometry of exceptional spheres
- Contact integral geometry and the Heisenberg algebra
- Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds
- Valuation theory of indefinite orthogonal groups
- Crofton formulas and indefinite signature
- Integral geometry of complex space forms
- Theory of valuations on manifolds. I: Linear spaces
- Theory of valuations on manifolds: A survey
- A Gauss-Bonnet formula for metrics with varying signature
- Convex valuations invariant under the Lorentz group
- Analytic continuation, the Chern-Gauss-Bonnet theorem, and the Euler-Lagrange equations in Lovelock theory for indefinite signature metrics
- On the heat equation and the index theorem
- A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
- Uniqueness of curvature measures in pseudo-Riemannian geometry
- Continuity of the fundamental operations on distributions having a specified wave front set (with a counterexample by Semyon Alesker)
- Intersection theory and the Alesker product
- The product on smooth and generalized valuations
- Curvature Measures
- Transverse, type changing, pseudo riemannian metrics and the extendability of geodesics
- The moduli space of special Lagrangian submanifolds
- THE CURVATURE OF A HESSIAN METRIC
- Classification of angular curvature measures and a proof of the angularity conjecture
- Signature change events: a challenge for quantum gravity?
- Wave function of the Universe
- Theory of Valuations on Manifolds, IV. New Properties of the Multiplicative Structure
- Theory of valuations on manifolds, III. Multiplicative structure in the general case
- On the global isometric embedding of pseudo-Riemannian manifolds
- The Gauss-Bonnet Theorem for Riemannian Polyhedra