논문KCI 등재
Tubes in singular spaces of nonpositive curvature
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Abstract
In this paper, we estimate area of tube in a CBA(0)-space withextendible geodesics. As its application, we obtain an upper boundof systole in a nonsimply connected space of nonpositivecurvature. Also, we determine a relative growth of a ball in aCBA(0)-space to the corresponding ball in Euclidean plane.
참고문헌 (8)
- "A theorem on triangles in a metric space and some of its applications", 38, pp.5~ (1951)
- "Lectures on spaces of nonpositive curvature" (1995)
- "In'egalit'e isosystolique pour la bouteille de Klein", 274(3), pp.439~ (1986)
- "Area and the length of the shortest closed geodesic", 27(1), pp.1~ (1988)
- "Some lower bounds for the area of surfaces", 65(3), pp.485~ (1981)
- "Some properties of minimal surfaces in singular spaces", 352(9), pp.3957~1969 (2000)
- "A Sphere theorem for 2-dimensional CAT(1)-spaces", 206(2), pp.401~423 (2002)
- "Solution of Plateau's problem in spaces of curvature no greater than k", 20, pp.246~ (1979)
관련 논문AI추천
A lower bound for area of compact singular surfaces of nonpositive curvature이두한, 채영도대한수학회 · 대한수학회보2007 · 제44권 제1호A note on the volume comparison of tubes around geodesics윤종국대한수학회 · 대한수학회논문집2008 · 제23권 제4호Curvature bounds of Euclidean cones of spheres김용일, Doohann Lee, Y. D. Chai대한수학회 · 대한수학회보2003 · 제40권 제2호Omori-Yau maximum principle on Alexandrov spaces이한진대한수학회 · 대한수학회지2016 · 제53권 제3호Positively curved manifolds with fixed point cohomogeneity one김창완대한수학회 · 대한수학회논문집2006 · 제21권 제1호Some Estimates for Compact Hypersurfaces in Hyperbolic SpaceAzam Etemad대한수학회 · 대한수학회보2005 · 제42권 제1호
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