Results 31 to 40 of about 12,537 (310)
Momentum-space gravity from the quantum geometry and entropy of Bloch electrons
Physical Review Research, 2022 Quantum geometry is a key quantity that distinguishes electrons in a crystal from those in the vacuum. Its study continues to provide insights into quantum materials, uncovering new design principles for their discovery.
Tyler B. Smith +2 more
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On Geodesic Segments in the Infinitesimal Asymptotic Teichmüller Spaces
Journal of Function Spaces, 2015 Let AZ(R) be the infinitesimal asymptotic Teichmüller space of a Riemann surface R of infinite type. It is known that AZ(R) is the quotient Banach space of the infinitesimal Teichmüller space Z(R), where Z(R) is the dual space of integrable quadratic ...
Yan Wu, Yi Qi, Zunwei Fu
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Forum of Mathematics, Sigma, 2021 Many natural real-valued functions of closed curves are known to extend continuously to the larger space of geodesic currents. For instance, the extension of length with respect to a fixed hyperbolic metric was a motivating example for the development of
Dídac Martínez-Granado +1 more
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GEOMETRIC PROPERTIES OF GEODESIC SPHERES IN A COMPLEX PROJECTIVE SPACE
, 2023 We survey geometric properties of geodesic spheres in a complex projective space. These spheres can be regarded as the simplest examples in the class of all real hypersurfaces isometrically immersed into this projective space.
Maeda, Sadahiro
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Approximating Solutions of Optimization Problems via Fixed Point Techniques in Geodesic Spaces
Axioms, 2022 The principal objective of this paper is to find the solution to a constrained minimization problem and the zero of the monotone operator in geodesic spaces. The basic tool in our study is a nonexpansive mapping.
Rahul Shukla
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Chebyshev sets in geodesic spaces
Journal of Approximation Theory, 2016 A subset \(C\) of a metric space \((X,d)\) is a Chebyshev set if each point in \(X\) has a unique closest point in \(C\). With the added structure for \((X,d)\) being a normed linear space questions involving the convexity of \(C\) become central (as well as questions about the smoothness of the unit ball of \(X\)).
David Ariza-Ruiz +3 more
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Classification results for polyharmonic helices in space forms
Comptes Rendus. MathématiqueWe derive various classification results for polyharmonic helices, which are polyharmonic curves whose geodesic curvatures are all constant, in space forms.
Branding, Volker
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Analysis and Geometry in Metric Spaces, 2016 We consider a ‘contracting boundary’ of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.We topologize this set via the Gromov product, in analogy to the topology of the ...
Cashen Christopher H.
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No periodic geodesics in jet space
Pacific Journal of Mathematics, 2023 The $J^k$ space of $k$-jets of a real function of one real variable $x$ admits the structure of a sub-Riemannian manifold, which then has an associated Hamiltonian geodesic flow, and it is integrable. As in any Hamiltonian flow, a natural question is the existence of periodic solutions. Does $J^k$ have periodic geodesics?
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Some fixed-point theorems for a pair of Reich-Suzuki-type nonexpansive mappings in hyperbolic spaces
Topological Algebra and its Applications, 2023 In this article, we prove some fixed-point results for a pair of Reich-Suzuki-type nonexpansive mappings in uniformly convex WW-hyperbolic spaces. We introduce a new iterative scheme and establish its convergence to the fixed points of a pair of Reich ...
Valappil Sreya Valiya +1 more
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