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Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces
In this paper, we focus on homogeneous spaces which are constructed from two strongly isotropy irreducible spaces, and prove that any geodesic orbit...
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Determination of the density in a nonlinear elastic wave equation
This is a continuation of our study (Uhlmann and Zhai in J Math Pures Appl 153:114–136, 2021) on an inverse boundary value problem for a nonlinear...
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Riemann-DTI Geodesic Tractography Revisited
Clinical tractography is a challenging problem in diffusion tensor imaging (DTI) due to persistent validation issues. Geodesic tractography, based on...
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Excessive Extrapolations From the Friedmann Equation
The contemporary cosmological model which is based on the Friedmann equation ( 6.28 ) does not give acceptable...
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Invariant Forms of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Finite-Dimensional Manifolds
AbstractIt is well known [1–3] that a system of differential equations can be exactly integrated if a sufficient number of its tensor invariants (not...
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Pseudo-Riemannian Geodesic Orbit Nilmanifolds of Signature \(\varvec{(n-2,2)}\)
The geodesic orbit property is useful and interesting in itself, and it plays a key role in Riemannian geometry. It implies homogeneity and has...
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Generalized displacement convexity for nonlinear mobility continuity equation and entropy power concavity on Wasserstein space over Riemannian manifolds
In this paper, we prove the generalized displacement convexity for nonlinear mobility continuity equation with p -Laplacian on Wasserstein space over...
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Some Remarks on High Degree Polynomial Integrals of the Magnetic Geodesic Flow on the Two-Dimensional Torus
We study the magnetic geodesic flow on the two-dimensional torus which admits an additional high degree first integral polynomial in momenta and is...
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On the existence of geodesics connecting Lagrangian graphs in Euclidean space
Existence theory for geodesics in the space of Lagrangian submanifolds plays an important role in a program for studying the existence and uniqueness...
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Existence of Solutions for the Laplacian Equation with Exponential Neumann Boundary Condition
In this paper, we consider the Laplacian equation with exponential Neumann boundary condition on a compact Riemann surface Σ with nonempty boundary ∂ Σ...
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Geodesic Structure and Linear Instability of Some Wormholes
We consider a static, spherically symmetric wormhole connecting two asymptotically Anti-de Sitter universes with constant negative curvature (AdS...
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A mean field type equation on vector bundles
The mean field type equation is a basic problem of mathematics. Up to now, far too little attention has been paid to the mean field type equation on...
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A New Concept of the Surface Wave of the Interference Type for the Smooth Convex Surfaces Embedded in ℝ3
A new concept of surface waves of an interference nature is described in details for the case of a whispering gallery waves propagating along a...
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On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere
In this paper, we give pointwise estimates of a Voronoï-based finite volume approximation of the Laplace-Beltrami operator on Voronoï-Delaunay...
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A Kadomtsev–Petviashvili Hierarchy Driven by Equation Manifolds
AbstractThe fact that (formally integrable) differential equations determine sub-bundles of appropriate infinite jet bundles allows us to introduce a...