Some open problems and conjectures on submanifolds of finite type: recent development
Abstract
Submanifolds of finite type were introduced by the author during the late 1970s. The first results on this subject were collected in author's books [26,29]. In 1991, a list of twelve open problems and three conjectures on finite type submanifolds was published in [40]. A detailed survey of the results, up to 1996, on this subject was given by the author in [48]. Recently, the study of finite type submanifolds, in particular, of biharmonic submanifolds, have received a growing attention with many progresses since the beginning of this century. In this article, we provide a detailed account of recent development on the problems and conjectures listed in [40].
Cite
@article{arxiv.1401.3793,
title = {Some open problems and conjectures on submanifolds of finite type: recent development},
author = {Bang-Yen Chen},
journal= {arXiv preprint arXiv:1401.3793},
year = {2014}
}
Comments
22 pages; to appeared in Tamkang J. Math. 45 (2014). arXiv admin note: substantial text overlap with arXiv:1307.6582