𝔖 Bobbio Scriptorium
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Surfaces with Harmonic Inverse Mean Curvature and Painlevé Equations

✍ Scribed by A. Bobenko; U. Eitner; A. Kitaev

Book ID
110217847
Publisher
Springer
Year
1997
Tongue
English
Weight
781 KB
Volume
68
Category
Article
ISSN
0046-5755

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Hypersurfaces of E4 with Harmonic Mean C
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A submanifold M" of a Euclidean space Em is said to have harmonic mean curvature vector field if A# = a, where denotes the mern curvature vector. B. -Y. CHEN conjectured that the only submanifolds of Euclidean spaces with harmonic mean curvature vector field, are the minimal ones. In this paper, we

Hypersurfaces in E4 with Harmonic Mean C
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✍ Th. Hasanis; Th. Vlachos 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 859 KB

The minimal hypersurfaces in E4 are the only hypersurfaces possessing the following property: Its mean curvature vector field is harmonic.