Non-immersion theorem for a class of hyperbolic manifolds

DOI10.1016/S0926-2245(97)00017-XzbMath0926.53003OpenAlexW2046990489WikidataQ115337539 ScholiaQ115337539MaRDI QIDQ1295468

Yury A. Nikolayevsky

Publication date: 2 December 1999

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

Full work available at URL: https://doi.org/10.1016/s0926-2245(97)00017-x

zbMATH Keywords

hyperbolic manifoldflat normal connectionisometric immersion in Euclidean space

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

Related Items (6)

Isometric immersions with flat normal bundle between space forms ⋮ 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

Cites Work

• Unnamed Item
• A non-immersion theorem for hyperbolic manifolds
• The Gauss map of a submanifold in a Euclidean space
• Isometric immersions of space forms in space forms
• Grassmann manifolds and the Grassmann image of submanifolds
• ISOMETRIC IMMERSIONS, WITH FLAT NORMAL CONNECTION, OF DOMAINS OF $ n$-DIMENSIONAL LOBACHEVSKY SPACE INTO EUCLIDEAN SPACES. A MODEL OF A GAUGE FIELD

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