Lower bounds for contraction constants of non-zero degree mappings onto the sphere

DOI10.1016/S0926-2245(01)00036-5zbMath0986.53016OpenAlexW2056195659WikidataQ115338315 ScholiaQ115338315MaRDI QIDQ5936475

Marcelo Llarull, Eleonora Ciriza

Publication date: 29 May 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(01)00036-5

zbMATH Keywords

scalar curvaturespin manifoldcontraction constant

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• Sharp estimates and the Dirac operator
• Scalar curvature and volume of a Riemannian manifold
• Über die Dehnung von Sphärenabbildungen
• Stretching Phenomena in Mappings of Spheres

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