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Systoles of Hyperbolic Manifolds [PDF]
Algebraic & Geometric Topology, 2011 We show that for every $n\geq 2$ and any $\epsilon>0$ there exists a compact hyperbolic $n$-manifold with a closed geodesic of length less than $\epsilon$. When $\epsilon$ is sufficiently small these manifolds are non-arithmetic, and they are obtained by
Belolipetsky, Mikhail, Thomson, Scott A.
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Systoles in translation surfaces
Bulletin de la Société mathématique de France, 2021 21 pages, 7 figures.
Boissy, Corentin, Geninska, Slavyana
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The homology systole of hyperbolic Riemann surfaces [PDF]
, 2011 The main goal of this note is to show that the study of closed hyperbolic surfaces with maximum length systole is in fact the study of surfaces with maximum length homological systole.
Parlier, Hugo
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Systolic freedom of orientable manifolds [PDF]
, 1997 In 1972, Marcel Berger defined a metric invariant that captures the `size' of k-dimensional homology of a Riemannian manifold. This invariant came to be called the k-dimensional SYSTOLE.
Babenko, Ivan, Katz, Mikhail
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On systolic zeta functions [PDF]
European Journal of Mathematics, 2017 We define Dirichlet type series associated with homology length spectra of Riemannian, or Finsler, manifolds, or polyhedra, and investigate some of their analytical properties. As a consequence we obtain an inequality analogous to Gromov's classical intersystolic inequality, but taking the whole homology length spectrum into account rather than just ...
Daniel Massart, Ivan Babenko
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Finitely presented subgroups of systolic groups are systolic [PDF]
Fundamenta Mathematicae, 2014 5 pages, 1 ...
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Local extremality of the Calabi-Croke sphere for the length of the shortest closed geodesic [PDF]
, 2009 Recently, F. Balacheff proved that the Calabi-Croke sphere made of two flat 1-unit-side equilateral triangles glued along their boundaries is a local extremum for the length of the shortest closed geodesic among the Riemannian spheres with conical ...
Sabourau, Stephane
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Systoles and kissing numbers of finite area hyperbolic surfaces [PDF]
, 2015 We study the number and the length of systoles on complete finite area orientable hyperbolic surfaces. In particular, we prove upper bounds on the number of systoles that a surface can have (the so-called kissing number for hyperbolic surfaces). Our main
Fanoni, Federica, Parlier, Hugo
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Interactions between visceral afferent signaling and stimulus processing [PDF]
, 2015 Visceral afferent signals to the brain influence thoughts, feelings and behaviour. Here we highlight the findings of a set of empirical investigations in humans concerning body-mind interaction that focus on how feedback from states of autonomic arousal ...
Anderson +62 more
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Left ventricular active stiffness: dependency on time and inotropic state [PDF]
, 1978 Left ventricular systolic stiffness was measured by rapidly changing ventricular volume (within 7 ms) of isovolumically contracting isolated rabbit hearts. Instantaneous pressure-volume relations were found to be linear with slopes that depended upon the
Boom, Herman B.K., Schiereck, Piet
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