most citedHessian of Busemann functions and rank of Hadamard manifolds

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math.DG2017★ 2 cited

Hessian of Busemann functions and rank of Hadamard manifolds

Mitsuhiro Itoh, Sinwhi Kim, JeongHyeong Park +1

In this article we show that every geodesic is rank one and the Hessian of Busemann functions is positive definite for a harmonic Damek-Ricci space, a two step solvable Lie group w…