On asymptotic volume of tori

DOI10.1007/BF01897051zbMath0846.53043OpenAlexW1987062641MaRDI QIDQ1908267

Sergei Ivanov, Dmitri Burago

Publication date: 22 September 1996

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58210

zbMATH Keywords

asymptotic behaviourFinsler spacessupporting hyperplanesconvergence of Riemannian metricsvolume of tori

Mathematics Subject Classification ID

Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items

Generalized degree and optimal Loewner-type inequalities, Area minimizers and boundary rigidity of almost hyperbolic metrics, Volume growth of some uniformly contractible Riemannian manifolds, Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces, Hilbert volume in metric spaces. I, Unnamed Item, Properties of the Intrinsic Flat Distance, Boundary rigidity and filling volume minimality of metrics close to a flat one, Profil isopérimétrique, métriques périodiques et formes d'équilibre des cristaux, Two counterexamples in low-dimensional length geometry, Volumes and areas of Lipschitz metrics, Dyck’s surfaces, systoles, and capacities, Boundary case of equality in optimal Loewner-type inequalities

Cites Work

• Unnamed Item
• Filling Riemannian manifolds
• Riemannian tori without conjugate points are flat
• A volume-diameter inequality for n-cubes
• VOLUMES OF BALLS IN MANIFOLDS WITHOUT CONJUGATE POINTS