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A non-immersion theorem for hyperbolic manifolds

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Publication:1059291
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DOI10.1007/BF02567414zbMath0566.53045MaRDI QIDQ1059291

Frederico Xavier

Publication date: 1985

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140013


zbMATH Keywords

isometry grouphyperbolic manifoldhyperbolic space


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)


Related Items (7)

Efimov's theorem in dimension greater than two ⋮ Curved flats, pluriharmonic maps and constant curvature immersions into pseudo-Riemannian space forms ⋮ On isometric immersions with flat normal connection of the hyperbolic space \(L^n\) into Euclidean space \(E^{n+m}\) ⋮ Loop group decompositions in almost split real forms and applications to soliton theory and geometry ⋮ Two-dimensional surfaces in 3-dimensional and 4-dimensional Euclidean spaces. Results and unsolved problems ⋮ Finding umbilics on open convex surfaces ⋮ Non-immersion theorem for a class of hyperbolic manifolds




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