Escaping geodesics in Riemannian surfaces with variable negative curvature
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DOI: 10.1016/j.aim.2019.01.032
Abstract: Abstract In this paper we give a lower bound for the visual Hausdorff dimension of the geodesics escaping through different ends of Riemannian surfaces with pinched negative curvature. This allows to show that in any… read more here.
Keywords: negative curvature; surfaces variable; escaping geodesics; curvature ... See more keywords
Improved generalized periods estimates over curves on Riemannian surfaces with nonpositive curvature
Sign Up to like & getrecommendations! Published in 2018 at "Forum Mathematicum"
DOI: 10.1515/forum-2020-0264
Abstract: Abstract We show that, on compact Riemannian surfaces of nonpositive curvature, the generalized periods, i.e. the ????-th order Fourier coefficients of eigenfunctions eλe_{\lambda} over a closed smooth curve ???? which satisfies a natural curvature condition,… read more here.
Keywords: generalized periods; nonpositive curvature; log; surfaces nonpositive ... See more keywords