Contact properties of codimension 2 submanifolds with flat normal bundle | Zendy

J. J. NuñoBallesteros | Zendy; M. C. Romero Fuster | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Contact properties of codimension 2 submanifolds with flat normal bundle

Author(s) -

J. J. NuñoBallesteros,

M. C. Romero Fuster

Publication year - 2010

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/617

Subject(s) - codimension , normal bundle , bundle , mathematics , geometry , pure mathematics , mathematical analysis , materials science , vector bundle , composite material

Given an immersed submanifold Mn ⊂ Rn+2, we characterize the vanishing of the normal curvature RD at a point p ∈ M in terms of the behaviour of the asymptotic directions and the curvature locus at p. We relate the affine properties of codimension 2 submanifolds with flat normal bundle with the conformal properties of hypersurfaces in Euclidean space. We also characterize the semiumbilical, hypespherical and conformally flat submanifolds of codimension 2 in terms of their curvature loci.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research