Knots in Riemannian manifolds

DOI10.1007/s00209-009-0627-3zbMath1209.53049arXiv0801.2216OpenAlexW1971438052WikidataQ115388804 ScholiaQ115388804MaRDI QIDQ627490

Fu-Quan Fang, Sérgio J. Mendonça

Publication date: 2 March 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2216

zbMATH Keywords

fundamental grouptotally geodesicextrinsic curvaturepositive curvature

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• Geometrization of 3-dimensional orbifolds
• A connectedness principle in the geometry of positive curvature
• Manifolds with positive curvature
• On submanifolds with nonpositive extrinsic curvature
• Torus actions on manifolds of positive sectional curvature.
• On the fundamental group of a compact minimal submanifolds
• An algebraic classification of some knots of codimension two
• On the role of partial Ricci curvature in the geometry of submanifolds and foliations
• Complex immersions in Kähler manifolds of positive holomorphic $k$-Ricci curvature
• On the Higher-Dimensional Smith Conjecture

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