Hypersurfaces of Constant Curvature in Hyperbolic Space I
Tóm tắt
Từ khóa
Tài liệu tham khảo
Andrews, B.: Contraction of convex hypersurfaces in Euclidean space. Calc. Var. Partial Differ. Equ. 2, 151–171 (1994)
Caffarelli, L., Nirenberg, L., Spruck, J.: The Dirichlet problem for nonlinear second-order elliptic equations I. Monge-Ampère equations. Commun. Pure Appl. Math. 37, 369–402 (1984)
Caffarelli, L., Nirenberg, L., Spruck, J.: The Dirichlet problem for nonlinear second-order elliptic equations III: functions of eigenvalues of the Hessians. Acta Math. 155, 261–301 (1985)
Caffarelli, L., Nirenberg, L., Spruck, J.: Nonlinear second order elliptic equations IV. Starshaped compact Weingarten hypersurfaces. In: Ohya, Y., et al. (eds.) Current Topics in P.D.E., pp. 1–26. Kinokunize Co., Tokyo (1986)
Gerhardt, C.: Closed Weingarten hypersurfaces in Riemannian manifolds. J. Differ. Geom. 43, 612–641 (1996)
Guan, B., Spruck, J.: Hypersurfaces of constant mean curvature in hyperbolic space with prescribed asymptotic boundary at infinity. Am. J. Math. 122, 1039–1060 (2000)
Guan, B., Spruck, J.: Locally convex hypersurfaces of constant curvature with boundary. Commun. Pure Appl. Math. 57, 1311–1331 (2004)
Guan, B., Spruck, J.: Hypersurfaces of constant curvature in Hyperbolic space II. J. Eur. Math. Soc. (to appear)
Rosenberg, H., Spruck, J.: On the existence of convex hypersurfaces of constant Gauss curvature in hyperbolic space. J. Differ. Geom. 40, 379–409 (1994)
Sheng, W.-M., Urbas, J., Wang, X.-J.: Interior curvature bounds for a class of curvature equations. Duke Math. J. 123, 235–264 (2004)