Isometric immersions with flat normal bundle between space forms
نویسندگان
چکیده
منابع مشابه
Generalized Dpw Method and an Application to Isometric Immersions of Space Forms
Let G be a complex Lie group and ΛG denote the group of maps from the unit circle S into G, of a suitable class. A differentiable map F from a manifold M into ΛG, is said to be of connection order (ba) if the Fourier expansion in the loop parameter λ of the S-family of Maurer-Cartan forms for F , namely F λ dFλ, is of the form P b i=a αiλ . Most integrable systems in geometry are associated to ...
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Introduction. A number of authors [C], [DW1], [DW2], [L], [T] have studied minimal isometric immersions of Riemannian manifolds into round spheres, and in particular of round spheres into round spheres. As was observed by T. Takahashi [T], if Φ:M → S(r) ⊂ R is such a minimal immersion, then the components of Φ must be eigenfuctions of the Laplace operator on M for the same eigenvalue. And conve...
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2021
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-020-01565-x