@article{CM_1992__81_3_337_0, author = {Plaut, Conrad}, title = {A metric characterization of manifolds with boundary}, journal = {Compositio Mathematica}, pages = {337--354}, publisher = {Kluwer Academic Publishers}, volume = {81}, number = {3}, year = {1992}, mrnumber = {1149173}, zbl = {0748.53046}, language = {en}, url = {http://www.numdam.org/item/CM_1992__81_3_337_0/} }
Plaut, Conrad. A metric characterization of manifolds with boundary. Compositio Mathematica, Volume 81 (1992) no. 3, pp. 337-354. http://www.numdam.org/item/CM_1992__81_3_337_0/
[B] The Geometry of Geodesics, Academic Press, New York, 1955. | MR | Zbl
[Be] Introduction of a Riemann structure into certain metric spaces, Siberian Math. J., 16 (1975), 499-507. | MR | Zbl
[CE] Comparison Theorems in Riemannian Geometry, North Holland, Amsterdam, 1975. | MR | Zbl
, and[F] A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters, J. Diff. Geo. 28 (1988), 1-21. | MR | Zbl
[FY] Almost non-positively curved manifolds, J. Diff. Geo. 33 (1991), 67-90. | MR | Zbl
and[G] Groupes of polynomial growth and expanding maps, Publ. Math. I.H.E.S. 53 (1981), 53-78. | Numdam | MR | Zbl
[GLP] Structure Métrique pour les Variétés Riemanniennes, Cedic/Fernant Nathan, Paris, 1981. | MR | Zbl
, , and[GP1] Bounding homotopy types by geometry, Ann. of Math. 128 (1988) 195-206. | MR | Zbl
and[GP2] Manifolds near the boundary of existence, J. Diff. Geo. 33 (1991), 379-394. | MR | Zbl
and[GPW] Geometric finiteness theorems via controlled topology, Invent. math. 99 (1990) 205-213. | MR | Zbl
, , and[GW] Lipschitz convergence of Riemannian manifolds, Pacific Math. J. 131 (1988), 119-141. | MR | Zbl
and[K] Riemannian Comparison Constructions, preprint. | MR
[N] Smoothness of the metric in spaces with bilaterally bounded curvature in the sense of A. P. Aleksandrov, Siberian Math. J. 24 (1983) 247-263. | Zbl
[P] Convergence of Riemannian manifolds, Compositio Math. 62 (1987), 3-16. | Numdam | MR | Zbl
[P1] Almost Riemannian Spaces, J. Diff. Geo., to appear. | MR | Zbl
[P2] Metric curvature, convergence, and topological finiteness, preprint. | MR | Zbl
[PD] Riemannian Geometry of Non-Riemannian Spaces, dissertation, University of Maryland, 1989.
[R] Die Innere Geometrie der Metrischen Raume, Springer-Verlag, Berlin, 1961. | MR | Zbl