The Experts below are selected from a list of 327 Experts worldwide ranked by ideXlab platform
Rafael López - One of the best experts on this subject based on the ideXlab platform.
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Rotational linear Weingarten surfaces of Hyperbolic Type
Israel Journal of Mathematics, 2008Co-Authors: Rafael LópezAbstract:A linear Weingarten surface in Euclidean space ℝ3 is a surface whose mean curvature H and Gaussian curvature K satisfy a relation of the form aH + bK = c, where a, b, c ∈ ℝ. Such a surface is said to be Hyperbolic when a 2 + 4bc < 0. In this paper we study rotational linear Weingarten surfaces of Hyperbolic Type giving a classification under suitable hypothesis. As a consequence, we obtain a family of complete Hyperbolic linear Weingarten surfaces in ℝ3 that consists of surfaces with self-intersections whose generating curves are periodic.
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rotational linear weingarten surfaces of Hyperbolic Type
arXiv: Differential Geometry, 2006Co-Authors: Rafael LópezAbstract:A linear Weingarten surface in Euclidean space ${\bf R}^3$ is a surface whose mean curvature $H$ and Gaussian curvature $K$ satisfy a relation of the form $aH+bK=c$, where $a,b,c\in {\bf R}$. Such a surface is said to be Hyperbolic when $a^2+4bc<0$. In this paper we classify all rotational linear Weingarten surfaces of Hyperbolic Type. As a consequence, we obtain a family of complete Hyperbolic linear Weingarten surfaces in ${\bf R}^3$ that consists into periodic surfaces with self-intersections.
Shuan Tang - One of the best experts on this subject based on the ideXlab platform.
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Composition Operator, Boundedness, Compactness, Hyperbolic Bloch-Type Space βμ∗, Hyperbolic-Type Space
Journal of Function Spaces, 2020Co-Authors: Shuan TangAbstract:In this paper, we obtain some characterizations of composition operators , which are induced by an analytic self-map of the unit disk , from Hyperbolic Bloch Type space into Hyperbolic Type space .
Michel Rouleux - One of the best experts on this subject based on the ideXlab platform.
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Semi-classical quantum maps of semi-Hyperbolic Type
2018Co-Authors: Hanen Louati, Michel RouleuxAbstract:Let M = R n or possibly a Riemannian, non compact manifold. We consider semi-excited resonances for a h-differential operator H(x, hD x ; h) on L 2 (M) induced by a non-degenerate periodic orbit γ 0 of semi-Hyperbolic Type, which is contained in the non critical energy surface {H 0 = 0}. By semi-Hyperbolic, we mean that the linearized Poincaré map dP 0 associated with γ 0 has at least one eigenvalue of modulus greater (or less) than 1, and one eigenvalue of modulus equal to 1, and by non-degenerate that 1 is not an eigenvalue, which implies a family γ(E) with the same properties. It is known that an infinite number of periodic orbits generally cluster near γ 0 , with periods approximately multiples of its primitive period. We construct the monodromy and Grushin operator, adapting some arguments by [NoSjZw], [SjZw], and compare with those obtained in [LouRo], which ignore the additional orbits near γ 0 , but still give the right quantization rule for the family γ(E).
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Semi-classical quantization rules for a periodic orbit of Hyperbolic Type
2016Co-Authors: Hanen Louati, Michel RouleuxAbstract:Determination of periodic orbits for a Hamiltonian system together with their semi-classical quantization has been a long standing problem. We consider here resonances for a $h$-Pseudo-Differential Operator $H(y,hD_y;h)$ induced by a periodic orbit of Hyperbolic Type at energy $E_0$. We generalize the framework of [G\'eSj], in the sense that we allow for both Hyperbolic and elliptic eigenvalues of Poincar\'e map, and show that all resonances in $W=[E_0-\varepsilon_0,E_0+\varepsilon_0]-i]0,h^\delta]$, $0
Liu Bin - One of the best experts on this subject based on the ideXlab platform.
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Structure of the Super Hyperbolic Type Kac-Moody Lie Algebra and Its Singularity
Journal of Zhuzhou Institute of Technology, 2001Co-Authors: Liu BinAbstract:The structure theory of the super Hyperbolic Type Kac-Moody Lie algebra and its part Dykin groph are given.It is proved that this kind of cartan matrices A=(aij) l×l is nonsingular and its inertial index is (l-1,1).
Carlos Ogouyandjou - One of the best experts on this subject based on the ideXlab platform.
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Volume of Geodesic Balls in Finsler Manifolds of Hyperbolic Type
Advances in Pure Mathematics, 2014Co-Authors: Carlos OgouyandjouAbstract:Let be a compact Finsler manifold of Hyperbolic Type, and be its universal Finslerian covering. In this paper we show that the growth function of the volume of geodesic balls of is of purely exponential Type.
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THE GROWTH FUNCTION OF THE VOLUME OF GEODESIC BALLS IN RIEMANNIAN MANIFOLDS OF Hyperbolic Type
2012Co-Authors: Jean-pierre Ezin, Carlos OgouyandjouAbstract:Let (M;g) be a compact Riemannian manifold of Hyperbolic Type and X be its universal Riemannian covering. We study in this paper, the growth function of the geodesic balls of X . We show that the critical exponent of the group of deck transformations of X is equal to the volume entropy h g of M .
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Volume growth and closed geodesics on riemannian manifolds of Hyperbolic Type
International Journal of Mathematics and Mathematical Sciences, 2005Co-Authors: Jean-pierre Ezin, Carlos OgouyandjouAbstract:We study the volume growth function of geodesic spheres in the universal Riemannian covering of a compact manifold of Hyperbolic Type. Furthermore, we investigate the growth rate of closed geodesics in compact manifolds of Hyperbolic Type.
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Volume of geodesic spheres in manifolds of Hyperbolic Type
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1999Co-Authors: Carlos OgouyandjouAbstract:Let (M, g) be a compact Riemannian manifold of Hyperbolic Type without conjugate points and X be its universal Riemannian covering. We show that the growth function of the volume of geodesic spheres of X is of purely exponential Type. This result yields a sufficient condition for the non-existence of a Riemannian metric with strictly negative curvature on compact manifolds.
