AN ESTIMATE FOR THE GAUSSIAN CURVATURE OF MINIMAL SURFACES IN EUCLIDEAN FOUR-SPACE WITH RAMIFICATION AN ESTIMATE FOR THE GAUSSIAN CURVATURE OF MINIMAL SURFACES IN EUCLIDEAN FOUR-SPACE WITH RAMIFICATION
DOI: 10.18173/2354-1059.2023-0020
Tóm tắt
In this article, we will establish an estimate for the Gaussian curvature of minimal surfaces in R4 whose classical Gauss map is ramified over the set of distinct points. This is a continuation of previous work of Fujimoto (1993, Aspect of Math., Vieweg, Wiesbaden, Vol. E21); Osserman-Ru (1997, J. Differ. Geom., Vol. 46, pp. 578-593) and Ha (2014, Differ. Geom. Appl., Vol. 32, pp. 130-138.)
điểm /
đánh giá
Phát hành ngày
2023-09-20
Chuyên mục
BAI BÁO