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초록· 키워드
오류제보하기
Any open Riemann surface has a conformal model in any orientable Riemannian manifold of dimension 4. Precisely, we will prove that, given any open Riemann surface, there is a conformally equivalent model in a prespecified orientable 4-dimensional Riemannian manifold. This result along with \cite{ko6} now shows that an open Riemann surface admits conformal models in any Riemannian manifold of dimension $\ge 3.$
목차
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참고문헌 (12)
참고문헌 신청
W. Abikoff / 1980 / The real analytic theory of Teichmuller space / Springer-Verlag
A. M. Garsia / 1961 / An imbedding of closed Riemann surfaces in Euclidean space / Comment. Math. Helv 35:93~110
S. Ko / 1989 / Embedding Riemann surfaces in Riemannian manifolds
S. Ko / 1993 / Embedding Bordered Riemann surfaces in Riemannian Manifolds / J. Korean Math. Soc 30(2):465~484
S. Ko / 1999 / Embedding Open Riemann Surfaces in Riemannian Manifolds / J. Geom. Anal 9(1):119~141
A. M. Garsia / 1961 / An imbedding of closed Riemann surfaces in Euclidean space / Comment. Math. Helv 35:93~110
S. Ko / 1989 / Embedding Riemann surfaces in Riemannian manifolds
S. Ko / 1993 / Embedding Bordered Riemann surfaces in Riemannian Manifolds / J. Korean Math. Soc 30(2):465~484
S. Ko / 1999 / Embedding Open Riemann Surfaces in Riemannian Manifolds / J. Geom. Anal 9(1):119~141
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