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Geodesic flows of c-projectively equivalent metrics are quantum integrable
Given two c-projectively equivalent metrics on a Kähler manifold, we show that canoncially constructed Poisson-commuting integrals of motion of the...
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The Geodesic Ray Transform on Spherically Symmetric Reversible Finsler Manifolds
We show that the geodesic ray transform is injective on scalar functions on spherically symmetric reversible Finsler manifolds where the Finsler norm...
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Geodesic Infinitesimal Deformations of Generalized Riemannian Spaces
Infinitesimal deformations of subspaces of a generalized Riemannian space are studied in this paper. Variations of some geometric objects are found....
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On Some Properties of Semi-Hamiltonian Systems Arising in the Problem of Integrable Geodesic Flows on the Two-Dimensional Torus
Bialy and Mironov demonstrated in a recent series of works that the search for polynomial first integrals of a geodesic flow on the 2-torus...
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Holomorphic Retractions of Bounded Symmetric Domains onto Totally Geodesic Complex Submanifolds
Given a bounded symmetric domain Ω the author considers the geometry of its totally geodesic complex submanifolds S ⊂ Ω. In terms of the...
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Geodesic Distance and Monge—Ampère Measures on Contact Sets
We prove a geodesic distance formula for quasi-psh functions with finite entropy, extending results by Chen and Darvas. We work with big and nef...
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Conformal metrics of the disk with prescribed Gaussian and geodesic curvatures
This paper is concerned with the existence of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures. Being more specific,...
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Sufficient conditions for perturbations to define the resolvent of the equilibrium problem on complete geodesic spaces
In this paper, we consider sufficient conditions for perturbations to define a resolvent of the equilibrium problem on complete geodesic spaces with...
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Weyl remainders: an application of geodesic beams
We obtain new quantitative estimates on Weyl Law remainders under dynamical assumptions on the geodesic flow. On a smooth compact Riemannian manifold...
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Acute Geodesic Triangulations of Manifolds
We give a brief survey on acute geodesic triangulations of certain manifolds such as higher dimensional manifolds, Riemannian surfaces and flat cone...
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Parabolic Muckenhoupt Weights with Time Lag on Spaces of Homogeneous Type with Monotone Geodesic Property
This work discusses parabolic Muckenhoupt weights with time lag on spaces of homogeneous type with an extra monotone geodesic property. The main...
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Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary
We study conformal metrics with prescribed Gaussian curvature on surfaces with conical singularities and geodesic boundary in supercritical regimes....
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Optimal Geodesic Curvature Constrained Dubins’ Paths on a Sphere
In this article, we consider the motion planning of a rigid object on the unit sphere with a unit speed. The motion of the object is constrained by...
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On the Geodesic Orbit Property for Lorentz Manifolds
The geodesic orbit property has been studied intensively for Riemannian manifolds. Geodesic orbit spaces are homogeneous and allow simplifications of...
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New type parallelogram laws in Banach spaces and geodesic spaces with curvature bounded above
The parallelogram law characterizes a part of the structure of Hilbert spaces. To hold the parallelogram law by the norm, reasonably good conditions...