On the Moduli Space of Isometric Surfaces with the Same Mean Curvature in 4-Dimensional Space Forms
Author:
Funder
Alexander S. Onassis Public Benefit Foundation
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology
Link
http://link.springer.com/content/pdf/10.1007/s12220-018-0040-4.pdf
Reference54 articles.
1. Abresch, U., Rosenberg, H.: A Hopf differential for constant mean curvature surfaces in $${ \bf S}^2\times {\bf R}$$ S 2 × R and $${\bf H}^2\times {\bf R}$$ H 2 × R . Acta Math. 193(2), 141–174 (2004). https://doi.org/10.1007/BF02392562
2. Aiyama, R., Akutagawa, K., Miyaoka, R., Umehara, M.: A global correspondence between CMC-surfaces in $$S^3$$ S 3 and pairs of non-conformal harmonic maps into $$S^2$$ S 2 . Proc. Am. Math. Soc. 128(3), 939–941 (2000). https://doi.org/10.1090/S0002-9939-99-05580-X
3. Alencar, H., do Carmo, M., Tribuzy, R.: A Hopf theorem for ambient spaces of dimensions higher than three. J. Differ. Geom. 84(1), 1–17 (2010)
4. Bobenko, A.I., Umehara, M.: Monodromy of isometric deformations of CMC surfaces. Hiroshima Math. J. 31(2), 291–297 (2001)
5. Bolton, J., Willmore, T.J., Woodward, L.M.: Immersions of Surfaces into Space Forms, Global Differential Geometry and Global Analysis 1984 (Berlin, 1984). Lecture Notes in Mathematics, vol. 1156, pp. 46–58. Springer, Berlin (1985). https://doi.org/10.1007/BFb0075085
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