English

The infinitesimally bendable Euclidean hypersurfaces

Differential Geometry 2017-05-30 v3

Abstract

The main purpose of this paper is to complete the work initiated by Sbrana in 1909 giving a complete local classification of the nonflat infinitesimally bendable hypersurfaces in Euclidean space.

Keywords

Cite

@article{arxiv.1701.06216,
  title  = {The infinitesimally bendable Euclidean hypersurfaces},
  author = {M. Dajczer and Th. Vlachos},
  journal= {arXiv preprint arXiv:1701.06216},
  year   = {2017}
}

Comments

it will appear in the Annali di Matematica Pura ed Applicata

R2 v1 2026-06-22T17:56:38.059Z