登入選單

返回Google圖書搜尋

New Complex Analytic Methods in the Study of Non-orientable Minimal Surfaces in Rn

Antonio AlarcónFranc ForstneričFrancisco J. López

出版	American Mathematical Society, 2020
ISBN	14704581289781470458126
URL	http://books.google.com.hk/books?id=lB-rzQEACAAJ&hl=&source=gbs_api

註釋

The aim of this work is to adapt the complex analytic methods originating in modern Oka theory to the study of non-orientable conformal minimal surfaces in \mathbb{R}^n for any n\ge 3. These methods, which the authors develop essentially from the first principles, enable them to prove that the space of conformal minimal immersions of a given bordered non-orientable surface to \mathbb{R}^n is a real analytic Banach manifold, obtain approximation results of Runge-Mergelyan type for conformal minimal immersions from non-orientable surfaces, and show general position theorems for non-orientable co.