Null-2 type δ(r)-ideal hypersurfaces in Euclidean space

Ideal submanifolds are submanifolds which receive the least possible tension from its ambient space and have many interesting applications in several areas of mathematics. In this paper, we have investigated null 2-type δ ( r ) -ideal hypersurfaces for every integer r ∈ [ 2 , n - 1 ] in Euclidean sp...

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Bibliographic Details
Published in:Journal of geometry 2018-08, Vol.109 (2), p.1-10
Main Author: Deepika
Format: Article
Language:English
Subjects:
Curvature
Euclidean geometry
Euclidean space
Geometry
Manifolds (mathematics)
Mathematics
Mathematics and Statistics
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Summary:Ideal submanifolds are submanifolds which receive the least possible tension from its ambient space and have many interesting applications in several areas of mathematics. In this paper, we have investigated null 2-type δ ( r ) -ideal hypersurfaces for every integer r ∈ [ 2 , n - 1 ] in Euclidean space E n + 1 ( n > 2 ) with an easy technique and proved that such hypersurfaces must be of constant mean curvature.
ISSN:0047-2468
1420-8997
DOI:10.1007/s00022-018-0431-5