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Totally flat foliations and peakless functions

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Publication:760036
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DOI10.1007/BF01207575zbMath0554.53045MaRDI QIDQ760036

Nobuhiro Innami

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

G-spacestotally geodesic foliationpeakless function


Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Direct methods ((G)-spaces of Busemann, etc.) (53C70)


Related Items (1)

Strictly convex functions on complete Finsler manifolds



Cites Work

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  • Peakless and monotone functions on G-spaces
  • Totally geodesic foliations and Killing fields. II
  • Convex functions on complete noncompact manifolds: Topological structure
  • Totally convex sets in complete Riemannian manifolds
  • A classification of Busemann G-surfaces which possess convex functions
  • The decomposition of a differentiable manifold and its applications
  • The splitting theorem for manifolds of nonnegative Ricci curvature
  • On the structure of complete manifolds of nonnegative curvature
  • Riemannian spaces which contain straight lines
  • Manifolds of Negative Curvature
  • Totally geodesic foliations


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