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Lyapunov Exponent and the Growth Rate of Geodesic Deviation in the Jacobi Equation with Random Curvature
AbstractThe growth rate of geodesic deviation in a homogeneous and isotropic on average cosmological model, in which curvature fluctuations are taken...
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Geodesic Vectors and Flat Totally Geodesic Subalgebras in Nilpotent Metric Lie Algebras
We determine geodesics and flat totally geodesic subalgebras in higher-step nilpotent metric Lie algebras of dimension 5. It is surprising that in...
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Geodesic deviation equation in generalized hybrid metric-Palatini gravity
In the context of general relativity, the geodesic deviation equation (GDE) relates the Riemann curvature tensor to the relative acceleration of two...
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A Region-Based Randers Geodesic Approach for Image Segmentation
The geodesic model based on the eikonal partial differential equation (PDE) has served as a fundamental tool for the applications of image...
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Holographic thermal entropy from geodesic bit threads
The holographic bit threads are an insightful tool to investigate the holographic entanglement entropy and other quantities related to the bipartite...
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On Geodesic Definiteness by Similarity Points
In this paper, we present some results obtained in the theory of geodesic map**s of surfaces. It is well known that a map** that is both...
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A Curvature Inequality Characterizing Totally Geodesic Null Hypersurfaces
A well-known application of the Raychaudhuri equation shows that, under geodesic completeness, totally geodesic null hypersurfaces are unique which...
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Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics
We show that a Kupka–Smale riemannian metric on a closed surface contains a finite primary set of closed geodesics, i.e. they intersect any other...
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An observable in Classical Pure AdS3 Gravity: the twist along a geodesic
In this paper, we consider a little-studied observable in classical pure AdS 3 gravity: the twist along a geodesic. The motivation is that the twist...
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Geodesic congruences in 5D warped Ellis–Bronnikov spacetimes
We study the timelike geodesic congruences in the generalised Ellis–Bronnikov spacetime (4D-GEB) and in recently proposed 5D model where a 4D-GEB is...
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Quantum geodesic flows and curvature
We study geodesics flows on curved quantum Riemannian geometries using a recent formulation in terms of bimodule connections and completely positive...
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Evolution of eigenvalue of the Wentzell-Laplace operator along the geodesic curvature flow
In this paper, we study continuity, differentiability and monotonicity for the first nonzero eigenvalue of the Wentzell-Laplace operator along the...
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Inscribing geodesic circles on the face of the superstratum
We use families of circular null geodesics as probes of a family of microstate geometries, known as (1 , 0 , n ) superstrata. These geometries carry a...
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A System of Hamilton-Jacobi Equations Characterizing Geodesic Centroidal Tessellations
We introduce a class of systems of Hamilton-Jacobi equations characterizing geodesic centroidal tessellations, i.e., tessellations of domains with...
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Fully Nonlinear Equations of Krylov Type on Riemannian Manifolds with Totally Geodesic Boundary
In this paper, we study fully nonlinear equations of Krylov type in conformal geometry on compact smooth Riemannian manifolds with totally geodesic...
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Integrability of a Geodesic Flow on the Intersection of Several Confocal Quadrics
AbstractThe classical Jacobi–Chasles theorem states that tangent lines drawn at all points of a geodesic curve on a quadric in n -dimensional...
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Winding of geodesic rays chosen by a harmonic measure
We prove limit theorems for the homological winding of geodesic rays distributed via a harmonic measure on a Gromov hyperbolic space. We obtain...
