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SOME REMARKS ON TOTAL CURVATURE OF A MINIMAL GRAPH
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초록
In this paper we discuss bounds for the total curvature of nonparametric minimal surfaces by using the properties of planar harmonic mappings.
Abstract
In this paper we discuss bounds for the total curvature of nonparametric minimal surfaces by using the properties of planar harmonic mappings.
참고문헌 (9)
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- F. Colonna, "The Bloch constant of bounded analytic functions", J. London Math. Soc, 36(1), pp.95~101 (1987)
- U. Dierkes, "Minimal Surfaces I. Boundary Value Problems", Grundlehren der Math. Wiss, 295 (1992), Springer-Verlag
- P. Duren, "Harmonic Mappings in the Plane", Cambridge Tracts in Mathematics, 156 (2004), Cambridge University Press
- G. M. Goluzin, "Geometric Theory of Functions of a Complex Variable, GITTL, Moscow, 1952", Transl. Math. Monographs, 26 (1969), Amer. Soc
- E. Heinz, "¨Uber die Losungen der Minimalflachengleichung, Nachr. Akad. Wiss. G¨ttingen. Math.-Phys. Kl. Math.-Phys.-Chem. Abt", pp.51~56 (1952)
- E. Reich, "An inequality for subordinate analytic functions", Pacific J. Math, 4(2), pp.259~274 (1954)
- S. Yamashita, "Spherical derivative of meromorphic function with image of finite spherical area", J. Inequal. Appl, 5(2), pp.191~199 (2000)
관련 논문AI추천
Nonparametric Minimal Surface and Harmonic Mapping전숙희한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호EXISTENCE OF MINIMAL SURFACES WITH PLANAR ENDS진선숙한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제4호On constant mean curvature graphs with convex boundary박성호대한수학회 · 대한수학회보2013 · 제50권 제4호BIMINIMAL CURVES IN 2-DIMENSIONAL SPACE FORMS이지은, Jun-ichi Inoguchi대한수학회 · 대한수학회논문집2012 · 제27권 제4호On the area of immersed minimal annuli in a slabElham Matinpour대한수학회 · 대한수학회지2025 · 제62권 제5호ON THE DEGENERATE MAXIMAL SURFACES IN L4홍성관영남수학회 · East Asian Mathematical Journal2021 · 제37권 제1호
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