Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Congruence of minimal surfaces
Ognian Kassabov
著者情報
ジャーナル フリー

2016 年 39 巻 1 号 p. 175-188

詳細
抄録
An interesting problem in classical differential geometry is to find methods to prove that two surfaces defined by different charts actually coincide up to position in space. In a previous paper we proposed a method in this direction for minimal surfaces. Here we explain not only how this method works but also how we can find the correspondence between the minimal surfaces, if they are congruent. We show that two families of minimal surfaces which are proved to be conjugate actually coincide and coincide with their associated surfaces. We also consider another family of minimal polynomial surfaces of degree 6 and we apply the method to show that some of them are congruent.
著者関連情報

この記事は最新の被引用情報を取得できません。

© 2016 Department of Mathematics, Tokyo Institute of Technology
前の記事 次の記事
feedback
Top