Results 61 to 70 of about 78,272 (250)
Willmore-type variational problem for foliated hypersurfaces
Electronic Research ArchiveAfter Thomas James Willmore, many authors were looking for an immersion of a manifold in Euclidean space or Riemannian manifold, which is the critical point of functionals whose integrands depend on the mean curvature or the norm of the second ...
Vladimir Rovenski
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, 2016 It is proved, that a foliation on a modular curve given by the vertical trajectories of holomorphic differential corresponding to the Hecke eigenform is either the Strebel foliation or the pseudo-Anosov foliation.Comment: to appear Bulletin of the ...
F Diamond +5 more
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Geometric properties of the Minkowski operator
Қарағанды университетінің хабаршысы. Математика сериясыThis article is about Minkowski difference of sets, which is one of the Minkowski operators. The necessary and sufficient conditions for the existence of the Minkowski difference of given regular polygons in the plane were derived. The method of finding
M.Sh. Mamatov +3 more
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A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We prove the following result: if a continuous vector field $F$ is Lipschitz when restricted to the hypersurfaces determined by a suitable foliation and a transversal condition is satisfied at the initial condition, then $F$ determines a locally unique ...
José Ángel Cid, F. Adrián Tojo
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Global Geometry of Bayesian Statistics
Entropy, 2020 In the previous work of the author, a non-trivial symmetry of the relative entropy in the information geometry of normal distributions was discovered. The same symmetry also appears in the symplectic/contact geometry of Hilbert modular cusps. Further, it
Atsuhide Mori
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Rapid evolution of complex limit cycles [PDF]
, 2009 The current article studies certain problems related to complex cycles of holomorphic foliations with singularities in the complex plane. We focus on the case when polynomial differential one-form gives rise to a foliation by Riemann surfaces.
Dimitrov, Nikolay
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Dimension Distortion by Sobolev Mappings in Foliated Metric Spaces
Analysis and Geometry in Metric Spaces, 2013 We quantify the extent to which a supercritical Sobolev mapping can increase the dimension of subsets of its domain, in the setting of metric measure spaces supporting a Poincaré inequality. We show that the set of mappings that distort the dimensions of
Balogh Zoltán M. +2 more
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Limit sets of Teichm\"uller geodesics with minimal non-uniquely ergodic vertical foliation [PDF]
, 2013 We describe a method for constructing Teichm\"uller geodesics where the vertical measured foliation $\nu$ is minimal but is not uniquely ergodic and where we have a good understanding of the behavior of the Teichm\"uller geodesic.
C. Leininger, Anna Lenzhen, Kasra Rafi
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Enlargeability, foliations, and positive scalar curvature
, 2017 We extend the deep and important results of Lichnerowicz, Connes, and Gromov-Lawson which relate geometry and characteristic numbers to the existence and non-existence of metrics of positive scalar curvature (PSC).
Benameur, Moulay-Tahar +1 more
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Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1984 This paper considers the existence of local complex foliations of smooth CR submanifolds near a point z, where the dimension of the Levi null space might jump. Suppose z is generic in the sense that the dimension of the Levi null space is at least q in a neighborhood of z and the set where this dimension is exactly q is dense in a neighbourhood of z ...
openaire +3 more sources