The paraboloid rigidity conjecture

From papers

Let (M,g)(M,g) satisfy the hypotheses of the preceding one-endedness conjecture, and suppose that its Ricci curvature agrees with that of a paraboloid for rr0r\leq r_0. Paraboloid rigidity conjecture. MM is isometric with a paraboloid. The source provides no resolution of this proposed rigidity statement.

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Sources & referencesView supporting material

Primary source

D. Holcman and C. Pugh, “The Boundary between Compact and Noncompact Complete Riemann Manifolds”, arXiv:math/0501414 (2005).

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