Application of soliton theory to the construction of isometric immersions of \(M^{n_1}(c_1)\times M^{n_2}(c_2)\) into constant curvature spaces \(M^n(\pm 1)\).
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Publication:1565994
DOI10.1007/S10114-002-0189-3zbMath1044.53042OpenAlexW2080368030MaRDI QIDQ1565994
Publication date: 2002
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-002-0189-3
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)
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- On the classification of constant mean curvature tori
- Isometric immersions of space forms and soliton theory
- Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space
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