河南科学
河南科學
하남과학
Henan Science
2015年
10期
1691-1695
,共5页
正则曲面%平均曲率%极小曲面%固定边界面积最小的曲面%必要条件
正則麯麵%平均麯率%極小麯麵%固定邊界麵積最小的麯麵%必要條件
정칙곡면%평균곡솔%겁소곡면%고정변계면적최소적곡면%필요조건
regular surface%mean curvature%minimal surface%minimal curved surface with fixed boundary%necessary condition
考虑固定边界的曲面中面积最小曲面的必要条件的证明方法问题. 在三维欧氏空间中,给定边界的闭曲面中面积最小的曲面,其平均曲率一定为零. 采用直接的曲面向量方程的扰动方法,给出了固定边界面积最小曲面的必要条件的证明过程.
攷慮固定邊界的麯麵中麵積最小麯麵的必要條件的證明方法問題. 在三維歐氏空間中,給定邊界的閉麯麵中麵積最小的麯麵,其平均麯率一定為零. 採用直接的麯麵嚮量方程的擾動方法,給齣瞭固定邊界麵積最小麯麵的必要條件的證明過程.
고필고정변계적곡면중면적최소곡면적필요조건적증명방법문제. 재삼유구씨공간중,급정변계적폐곡면중면적최소적곡면,기평균곡솔일정위령. 채용직접적곡면향량방정적우동방법,급출료고정변계면적최소곡면적필요조건적증명과정.
The proof method of the necessary condition of minimal curved surface within the curved surface with fixed boundary is discussed in this paper. In three-dimensional Euclidean space,the mean curvature of minimal curved surface within the closed curved surface with fixed boundary is bound to be zero. The proof process of the necessary condition of minimal curved surface within the curved surface with fixed boundary is demonstrated by means of the direct perturbation method of the surface vector equation.
