most citedHessian of Busemann functions and rank of Hadamard manifolds

2 citations · 2 across the 1 of their papers we have counts for

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2 papers

math.DG2018

Harmonic Hadamard manifolds and Gauss hypergeometric differential equations

Mitsuhiro Itoh, Hiroyasu Satoh

A new class of harmonic Hadamard manifolds, those spaces called of hypergeometric type, is defined in terms of Gauss hypergeometric equations. Spherical Fourier transform defined o…

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…