Cohomogeneity one hypersurfaces of Euclidean Spaces | Zendy

Francesco Mercuri | Zendy; Fabio Podestà | Zendy; José Adonai Pereira Seixas | Zendy; Ruy Tojeiro | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Cohomogeneity one hypersurfaces of Euclidean Spaces

Author(s) -

Francesco Mercuri,

Fabio Podestà,

José Adonai Pereira Seixas,

Ruy Tojeiro

Publication year - 2006

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.4171/cmh/59

Subject(s) - mathematics , codimension , hypersurface , dimension (graph theory) , riemannian manifold , pure mathematics , euclidean space , bounded function , euclidean geometry , manifold (fluid mechanics) , combinatorics , mathematical analysis , geometry , mechanical engineering , engineering

We study isometric immersions f : Mn ! Rn+1 into Euclidean space of dimension n + 1 of a complete Riemannian manifold of dimension n on which a compact connected group of intrinsic isometries acts with principal orbits of codimension one. We give a complete classification if either n 3 and Mn is compact or if n 5 and the connected components of the flat part of Mn are bounded. We also provide several sucient conditions for f to be a hypersurface of revolution.

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