The Space of Positive Definite Matrices and Gromov's Invariant

DOI10.2307/1999507zbMath0498.53037OpenAlexW4255411909MaRDI QIDQ3963667

Richard P. Jun. Savage

Publication date: 1982

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999507

zbMATH Keywords

invariant Riemannian metricnegative curvatureGromov's invariantgeometric simplices

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Differential geometry of symmetric spaces (53C35) Length, area and volume in real or complex geometry (51M25) Algebraic topology of manifolds (57N65) Singular homology and cohomology theory (55N10)

Related Items (8)

The Gromov norm of the Kähler class of symmetric domains ⋮ Proportionality principle for the simplicial volume of families of \(\mathbb Q\)-rank 1 locally symmetric spaces ⋮ Piecewise straightening and Lipschitz simplicial volume ⋮ Simplicial volume of \(\mathbb Q\)-rank one locally symmetric spaces covered by the product of \(\mathbb R\)-rank one symmetric spaces ⋮ Volume of representations and mapping degree ⋮ Elliptic isometries of the manifold of positive definite real matrices with the trace metric ⋮ The simplicial volume of mapping tori of 3-manifolds ⋮ Positivity of simplicial volume for nonpositively curved manifolds with a Ricci-type curvature condition

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