SOME EXISTENCE AND NONEXISTENCE RESULTS OF ISOMETRIC IMMERSIONS OF RIEMANNIAN MANIFOLDS

DOI10.1142/S0219199704001562zbMath1138.53306OpenAlexW2156045862WikidataQ115245768 ScholiaQ115245768MaRDI QIDQ4675797

Zizhou Tang

Publication date: 6 May 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199704001562

zbMATH Keywords

Kervaire semi-characteristicstrictly hyperbolic immersion

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (3)

Scalar positive immersions ⋮ On surfaces immersed in Euclidean space \(\mathbb{R}^4\) ⋮ Topology and curvature of isoparametric families in spheres

Cites Work

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• The imbedding problem for Riemannian manifolds
• Positively curved n-manifolds in \(R^{n+2}\)
• Isometric embedding of flat manifolds in Euclidean space
• A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Characteristic Classes. (AM-76)
• Embeddings and immersions in Riemannian geometry

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