@article{CM_1990__75_2_171_0, author = {Kodani, Shigeru}, title = {Convergence theorem for riemannian manifolds with boundary}, journal = {Compositio Mathematica}, pages = {171--192}, publisher = {Kluwer Academic Publishers}, volume = {75}, number = {2}, year = {1990}, mrnumber = {1065204}, zbl = {0703.53043}, language = {en}, url = {http://archive.numdam.org/item/CM_1990__75_2_171_0/} }
Kodani, Shigeru. Convergence theorem for riemannian manifolds with boundary. Compositio Mathematica, Tome 75 (1990) no. 2, pp. 171-192. http://archive.numdam.org/item/CM_1990__75_2_171_0/
[1] Finiteness theorems for Riemannian manifolds, Amer. J. Math. 92 (1970) 61-74. | MR | Zbl
,[2] Comparison Theorems in Riemannian Geometry. North Holland, 1975. | MR | Zbl
and ,[3] Geometry of Submanifolds, Marcel Dekker, New York, 1973. | MR | Zbl
,[4] Local convexity and nonnegative curvature - Gromov's proof of sphere theorem, Invent. math. 84 (1986) 507-522. | EuDML | MR | Zbl
,[5] Jacobi tensors and Ricci curvature, Math. Ann. 252 (1980) 1-26. | EuDML | MR | Zbl
and ,[6] Lipschitz convergence of Riemannian manifolds, Pacific. J. Math. 133 (1988) 119-143. | MR | Zbl
and ,[7] Structures métriques pour les variétés riemanniennes, rédiges par J. Lafontrain et P. Pansu, Textes math., nl Cedic/Fernand-Nathan, 1981. | MR | Zbl
,[8] A general comparison theorem with applications to volume estimate for submanifolds, Ann. Sci. Ecole Norm. Sup. 11 (1978) 451-470. | EuDML | Numdam | MR | Zbl
and ,[9] Applications of Laplacian and Hessian comparison theorems, Advanced Studies in Pure Math., 3, Geometry of Geodesics and Related Topics, 333-386. | MR | Zbl
,[10] Gromov's convergence theorem and its application, Nagoya Math. J. 100 (1985) 11-48. | MR | Zbl
,[11] The unknottedness of minimal embeddings, Invent. Math. 11 (1970) 183-187. | MR | Zbl
,[12] Embedding and surrounding with positive mean curvature, Invent. Math. 77 (1984) 399-419. | MR | Zbl
and ,[13] Minimal disks and compact hypersurfaces in Euclidean space, Proc. Amer. Math. Soc. 94 (1985) 151-168. | MR | Zbl
and ,[14] Convergence of Riemannian manifolds, Compositio Mathematica. 62 (1987) 3-16. | Numdam | MR | Zbl
,[15] Comparison and finiteness theorems in Riemannian geometry, Advanced Studies in Pure Math., 3, Geometry of Geodesics and Related Topics, 125-181. | MR | Zbl
,[16] p-convex riemannian manifolds, Invent. Math. 83 (1986) 437-447. | MR | Zbl
,[17] Handlebodies and p-convexity, J. Differential Geometry. 25 (1987) 353-361. | MR | Zbl
,[18] Manifolds of partially positive curvature, Indiana Univ. Math. J. 36 (1987) 525-548. | MR | Zbl
,[19] On the lengths of stable Jacobi fields, Preprint. | MR | Zbl
,