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math.DG2015★ 3 cited
Positive curvature and torus symmetry in small dimensions, I -- Dimensions 10, 12, 14, and 16
Manuel Amann, Lee Kennard
This is the first part of a series of papers where we compute Euler characteristics, signatures, elliptic genera, and a number of other invariants of smooth manifolds that admit Ri…
math.DG2015
Characterizations of the round two-dimensional sphere in terms of closed geodesics
Lee Kennard, Jordan Rainone
The question of whether a closed Riemannian manifold has infinitely many geometrically distinct closed geodesics has a long history. Though unsolved in general, it is well understo…