Nonpositive curvature is not coarsely universal
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DOI: 10.1007/s00222-019-00878-1
Abstract: We prove that not every metric space embeds coarsely into an Alexandrov space of nonpositive curvature. This answers a question of Gromov (Geometric group theory, Cambridge University Press, Cambridge, 1993) and is in contrast to… read more here.
Keywords: space; nonpositive curvature; ell infty; metric space ... See more keywords
Improved generalized periods estimates over curves on Riemannian surfaces with nonpositive curvature
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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