Euclidean planes in three-dimensional manifolds of nonpositive curvature

DOI10.1007/BF01139571zbMath0656.53038OpenAlexW2009001124MaRDI QIDQ1110104

Sergei V. Buyalo

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01139571

zbMATH Keywords

fundamental groupEuclidean planenon-positive sectional curvaturetotally geodesic embedding

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

Existence of flat tori in analytic manifolds of nonpositive curvature

Cites Work

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• Structure of manifolds of nonpositive curvature. I
• Geometry of horospheres
• Compact manifolds of nonpositive curvature
• Geodesic Flow in Certain Manifolds Without Conjugate Points
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature