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Hyperbolic principal cycles on hypersurfaces of \(\mathbb{R}^ 4\)

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Publication:1345033
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DOI10.1007/BF00773456zbMath0821.53006OpenAlexW2033139923MaRDI QIDQ1345033

Ronaldo A. Garcia

Publication date: 1 March 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00773456


zbMATH Keywords

hyperbolicitylines of curvatureprincipal foliationprincipal cycle


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)


Related Items (2)

Caustique de la surface elllpsoïdale à trois dimensions ⋮ Principal curvature lines near a partially umbilic point of codimension one



Cites Work

  • Structural stability on two-dimensional manifolds
  • Lines of principal curvature for mappings with Whitney umbrella singularities
  • Lines of curvature near principal cycles
  • Closed principal lines and bifurcation
  • Closed lines of curvature for Weingarten immersions
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