[PDF] Top 20 Three Dimensional Manifolds All of Whose Geodesics Are Closed
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Three Dimensional Manifolds All of Whose Geodesics Are Closed
... A three dimensional critical manifold contributes a Q in the degree equal to the index and a Q in degree equal to the index plus 2 , since the negative bundle is orientable (hence a total of two ... See full document
44
Pairs of closed geodesics in metric graphs
... of closed geodesics in surfaces of negative curvature due to the fact that the coding of metric graphs we use results in a subshift of finite type, just as in the analysis of pairs of closed ... See full document
122
Amenability, critical exponents of subgroups and growth of closed geodesics
... the closed geodesics to the Gureviˇc pressure and hence, using Stadlbauer’s result, prove that the equality of h (M ) and h( M ) is equivalent to amenability of the covering ... See full document
20
Homotopy properties of horizontal loop spaces and applications to closed sub riemannian geodesics
... This result is the counterpart, in contact geometry, of the celebrated Lyusternik- Fet theorem [20] asserting the existence of a closed geodesic in any compact Rie- mannian manifold. The result of Lyusternik-Fet ... See full document
28
Volume growth and closed geodesics on Riemannian manifolds of hyperbolic type
... Lemma 5.4. Let (M,g ) be a compact Riemannian manifold of hyperbolic type without con- jugate points and let X be its universal Riemannian covering. Let ᏼ(t) denote the number of equivalence classes of closed ... See full document
19
Asymptotic expansion of closed geodesics in homology classes
... between closed geodesics on M and closed orbits for ...of closed geodesics on M and the set of closed orbits for φ ...corresponding closed orbit for φ ... See full document
17
Amenable covers for surfaces and growth of closed geodesics
... and closed geodesics an important characteristic is the topological ...of closed geodesics of length at most T ...the three dimensional unit tangent bundle SM for M ... See full document
10
Dynamical properties of algebraic systems : a study in closed geodesics
... But it leads us to the study of compact maximal in a locally symmetric In Section.. 2 we discuss some basic properties.[r] ... See full document
136
Weil–Petersson metrics, Manhattan curves and Hausdorff dimension
... discuss related symbolic dynamics further in the next section.) There is an interesting connection between the value D λ and the relative lengths of cor- responding closed geodesics on V which gives another ... See full document
11
Orthogonality of Homogeneous geodesics on the tangent bundle
... Let ℑ = (G, π, G/K, K) be a principal homogeneous fiber bundle with group structure K, and let G be a connected Lie group and K a closed subgroup of G, (see [1], definition 2.2). We take the Lie algebras G and K of ... See full document
8
Closed conformal vector fields on pseudo Riemannian manifolds
... (1.2) closed conformal vector ...conformal geodesics, in the works of Yano [7–11] about concircular geometry in Riemannian man- ifolds, and in the works of Tashiro [6], Kerbrat [4], K¨uhnel and Rademacher ... See full document
8
Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces
... symmetric three funneled surface with the length of the three defining closed geodesics at least 8 without much difficulty, and this turns out to be a sufficiently general ... See full document
32
New periodic solutions with a prescribed energy for a class of Hamiltonian systems
... Benci, V: Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural Hamiltonian systems.. Henri Poincaré, Anal.[r] ... See full document
8
Asymptotics in conjugacy classes for free groups
... We prove Theorem 4.1.1 by considering the analytic properties of a complex gen- erating function. Our analysis of this complex generating function relies on the spectral properties of the transfer operator. We require ... See full document
105
Immersing Essential Surfaces in Odd Dimensional Closed Hyperbolic Manifolds
... Haken-three manifolds admit a hierarchy, where they can be split up into three-balls along incompressible ...every closed hyperbolic 3-manifold is virtually ...immersed closed ... See full document
63
ALMOST HYPERCOMPLEX MANIFOLDS WITH HERMITIAN-NORDEN METRICS AND 4-DIMENSIONAL INDECOMPOSABLE REAL LIE ALGEBRAS DEPENDING ON ONE PARAMETER
... The present paper is organized as follows. In Sect. 1, we present some definitions and facts about the almost hypercomplex manifold with Hermitian-Norden metrics. In the next Sect. 2, we construct almost hypercomplex ... See full document
10
Minkowski polynomials and mutations
... Abstract. Given a Laurent polynomial f , one can form the period of f : this is a func- tion of one complex variable that plays an important role in mirror symmetry for Fano manifolds. Mutations are a particular ... See full document
17
A Descriptive Characterization of Tree Adjoining Languages
... Thus there are analogous classes of automata at the level of labeled three-dimensional tree manifolds, the level of labeled trees and at the level of strings which can be understood as t[r] ... See full document
5
GEODESICS IN LORENTZIAN MANIFOLDS
... If we let M be a smooth manifold, then denote F(M) as the set of all smooth real-valued functions on M . Some important objects on manifolds may now be discussed. These include tangent vectors, the tangent ... See full document
39
Closed essential surfaces in hyperbolizable acylindrical 3 manifolds
... We now set Theorem 3.1 in the general framework of the Bass-Serre theory of fundamental groups of graphs of groups. After giving a brief sketch of the Bass-Serre theory sufficient for the purposes of this work, we ... See full document
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