English

Segre embedding and related maps and immersions in differential geometry

Algebraic Geometry 2013-07-02 v1 Differential Geometry

Abstract

Segre embedding was introduced by C. Segre (1863--1924) in his famous 1891 article \cite{segre}. The Segre embedding plays an important roles in algebraic geometry as well as in differential geometry, mathematical physics, and coding theory. In this article, we survey main results on Segre embedding in differential geometry. Moreover, we also present recent differential geometric results on maps and immersions which are constructed in ways similar to Segre embedding.

Cite

@article{arxiv.1307.0459,
  title  = {Segre embedding and related maps and immersions in differential geometry},
  author = {Bang-Yen Chen},
  journal= {arXiv preprint arXiv:1307.0459},
  year   = {2013}
}

Comments

39 pages

R2 v1 2026-06-22T00:43:43.633Z