000 | 00690nam a2200109Ia 4500 | ||
---|---|---|---|
008 | 220816s9999||||xx |||||||||||||| ||und|| | ||
020 | _aNULL | ||
245 | 0 | _aAsymptotic and local rigidity under sectional curvature bounds | |
260 |
_aBangalore: _bDepartment of Mathematics, Indian Institute of Science: _c2006 |
||
300 | _aLet (M, g) be a simply-connected complete Riemannian manifold of dimension ≥ 3. Suppose that the sectional curvature K satisfies −1−s(r) ≤ K ≤ −1, where r denotes distance to a fixed point in M. We prove that if lim r→∞ e 2rs(r) = 0, then (M, g) has to be | ||
856 | _uhttp://math.iisc.ernet.in/~library/preprints/MathPP16.pdf | ||
999 |
_c3651 _d3651 |