New invariants of Gromov–Hausdorff limits of Riemannian surfaces with curvature bounded below

Let { X i } be a sequence of compact n -dimensional Alexandrov spaces (e.g. Riemannian manifolds) with curvature uniformly bounded below which converges in the Gromov–Hausdorff sense to a compact Alexandrov space X . The paper (Alesker in Arnold Math J 4(1):1–17, 2018) outlined (without a proof) a c...

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Veröffentlicht in:	Geometriae dedicata 2023-02, Vol.217 (1), Article 12
Hauptverfasser:	Alesker, Semyon, Katz, Mikhail G., Prosanov, Roman
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Convex and Discrete Geometry Curvature Differential Geometry Hyperbolic Geometry Mathematics Mathematics and Statistics Original Paper Projective Geometry Riemann manifold Riemann surfaces Topology
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