Results 181 to 190 of about 264 (216)

Closed Geodesics on Surfaces

Bulletin of the London Mathematical Society, 1982
1—> M representing a. is either an embedding or a double cover of a one-sided embedded curve K. In the second case, C bounds a Moebius band in M and K is isotopic to the centre of this band.
Freedman, Michael, Hass, Joel, Scott, Peter   +2 more
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Closed geodesics on surfaces

2022
Snapshots of modern mathematics from Oberwolfach;2022 ...
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ON GENERIC PROPERTIES OF CLOSED GEODESICS

Mathematics of the USSR-Izvestiya, 1983
Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 46, 675-709 (Russian) (1982; Zbl 0512.58014).
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Closed Geodesics and the η-Invariant

The Annals of Mathematics, 1978
In [3], Atiyah, Patodi and Singer introduced an invariant of a Riemannian manifold of dimension 4n 1. This invariant, which they called the p-invariant, is determined by the spectrum of a certain self-adjoint square root of the Laplacian on differential forms.
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The Theory of Closed Geodesics

2009
Six lectures by W. Klingenberg given at the C.I.M.E Advanced Study Institute on “Eigenvalues in nonlinear problems” in Varenna, June 16 – June 25 ...
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A Note on Collars of Simple Closed Geodesics

Geometriae Dedicata, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON THE EXISTENCE OF CLOSED GEODESICS ON TWO-SPHERES

International Journal of Mathematics, 1993
In [7] J. Franks proves the existence of infinitely many closed geodesics for every Riemannian metric on S2 which satisfies the following condition: there exists a simple closed geodesic for which Birkhoff's annulus map is defined. In particular, all metrics with positive Gaussian curvature have this property. Here we prove the existence of infinitely
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A Review of the Index Method in Closed Geodesic Problem

Acta Mathematica Sinica, English Series, 2022
Sai Liu
exaly  

Eigenfunctions Concentrated in a Neighborhood of a Closed Geodesic

1970
The asymptotic behavior of the eigenfunctions for the triaxial ellipsoid $$\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} + \frac{{{z^2}}}{{{c^2}}} = 1\;,\;\;a > b > c\;. $$ (1.1) has been studied in the papers .of V. P. Bykov [1] and L. A. Vainshtein [2].
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The length of the shortest closed geodesic on positively curved 2-spheres

Mathematische Zeitschrift, 2021
Ian Adelstein
exaly