Generalized degree and optimal Loewner-type inequalities

DOI10.1007/BF02772220zbMath1067.53031arXivmath/0405019OpenAlexW1988237128MaRDI QIDQ1885657

Mikhail G. Katz, Sergei Ivanov

Publication date: 11 November 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405019

zbMATH Keywords

Riemannian metricsystolestable systoleLoewner's inequality

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

Volume growth of some uniformly contractible Riemannian manifolds, Systolic volume of hyperbolic manifolds and connected sums of manifolds, Systolic inequalities and Massey products in simply-connected manifolds, Free abelian covers, short loops, stable length, and systolic inequalities, Fixed point free involutions on Riemann surfaces, Systolically extremal nonpositively curved surfaces are flat with finitely many singularities, Cohomological dimension, self-linking, and systolic geometry, A Pu-Bonnesen inequality, An inequality for length and volume in the complex projective plane, Hyperelliptic surfaces are Loewner, A systolic inequality with remainder in the real projective plane, Boundary case of equality in optimal Loewner-type inequalities

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