References
- W. Abikoff, The real analytic theory of Teichmuller space, Lecture Notes, 820, Springer-Verlag, 1980.
- A. M. Garsia, An imbedding of closed Riemann surfaces in Euclidean space, Comment. Math. Helv. 35 (1961), 93-110. https://doi.org/10.1007/BF02567009
- S. Ko, Embedding Riemann surfaces in Riemannian manifolds, Ph.D. Thesis, University of Connecticut, Aug. 1989.
- S. Ko, Embedding Bordered Riemann surfaces in Riemannian Manifolds J. Korean Math. Soc. 30 (1993), no. 2, 465-484.
- S. Ko, Embedding Open Riemann Surfaces in Riemannian Manifolds, J. Geom. Anal. 9 (1999), no. 1, 119-141. https://doi.org/10.1007/BF02923091
- S. Ko, Embedding Compact Riemann Surfaces in Riemannian Manifolds, Houston J. Math. 27 (2001), no. 3, 541-576.
- S. Ko, Embedding Compact Riemann Surfaces in 4-dimensional Riemannian Manifolds, Houston J. Math. 31 (2005), no. 2, 355-366.
- S. Ko, Embedding Bordered Riemann Surfaces in 4-dimensional Riemannian Manifolds, Houston J. Math. 33 (2007), no. 3, 649-661.
- O. Lehto and K. Virtanen, Quasiconformal Mappings, Springer, 1965.
-
J. Nash,
$C^1$ -isometric imbeddings, Ann. of Math. 60 (1954), 383-396. https://doi.org/10.2307/1969840 - R. Ruedy, Embeddings of open Riemann surfaces, Comment. Math. Helv. 46 (1971).
- R. Ruedy, Deformations of embedded Riemann surfaces, Ann. of Math. Studies 66 (1971).