The Gauss map and second fundamental form of surfaces in a Lie group
Author:
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10231-015-0540-9.pdf
Reference16 articles.
1. Aiyama, R., Akutagawa, K.: Kenmotsu type representation formula for surfaces with prescribed mean curvature in the hyperbolic 3-space. J. Math. Soc. Jpn. 81(4), 877–898 (2000)
2. Brander, D., Inoguchi, J., Kobayashi, S.-P.: Constant Gaussian curvature surfaces in the 3-sphere via loop groups. Pac. J. Math. 269(2), 281–303 (2014)
3. Daniel, B.: Isometric immersions into 3-dimensional homogeneous manifolds. Comment. Math. Helv. 82(1), 87–131 (2007)
4. Gálvez, J.A., Hauswirth, L., Mira, P.: Surfaces of constant curvature in $${\mathbb{R}}^3$$ R 3 with isolated singularities. Adv. Math. 241, 103–126 (2013)
5. Gálvez, J.A., Martínez, A.: The Gauss map and second fundamental form of surfaces in $${\mathbb{R}}^3$$ R 3 . Geometriae Dedicata 81, 181–192 (2000)
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