3 papers
math.DG2024
Bloch-Ros principle and its application to surface theory
Shunsuke Kasao, Yu Kawakami
There exists the duality between normal family theory and value distribution theory of meromorphic functions, which is called the Bloch principle. Zalcman formulated a more precise…
math.DG2024
The Gauss images of complete minimal surfaces of genus zero of finite total curvature
Yu Kawakami, Mototsugu Watanabe
This paper aims to present a systematic study on the Gauss images of complete minimal surfaces of genus 0 of finite total curvature in Euclidean 3-space and Euclidean 4-space. We f…
math.DG2024
Surfaces with concentric or parallel -contours
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu
Surfaces with concentric -contours and parallel -contours in Euclidean -space are defined. Crucial examples are presented and characterization of them are given.