Results 11 to 20 of about 39,694 (133)
Riemannian Preconditioning [PDF]
SIAM Journal on Optimization, 2014 The paper exploits a basic connection between sequential quadratic programming and Riemannian gradient optimization to address the general question of selecting a metric in Riemannian optimization, in particular when the Riemannian structure is sought on
Bamdev Mishra, R. Sepulchre
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Second Natural Connection on Riemannian Π-Manifolds
Symmetry, 2023 An object of investigation is the differential geometry of the Riemannian Π-manifolds; in particular, a natural connection, determined by a property of its torsion tensor, is defined, and it is called the second natural connection on Riemannian Π ...
H. Manev
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Third Natural Connection on Riemannian Π-manifolds
Proceedings of the Bulgarian Academy of Sciences, 2023 A natural connection whose torsion tensor is a 3-form is defined and called the third natural connection on a Riemannian Π-manifold. In the cases of existence of this connection, a relation between it and the known first and second natural connections on
H. Manev
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Finsler geometry in anisotropic superconductivity: a Ginzburg-Landau approach [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe present a rigorous generalization of the classical Ginzburg--Landau model to smooth, compact Finsler manifolds without boundary. This framework provides a natural analytic setting for describing anisotropic superconductivity within Finsler geometry ...
Y. Alipour Fakhri
doaj +1 more source
Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds [PDF]
Journal of Functional Analysis, 2020 The notion of strictly outward minimising hull is investigated for open sets of finite perimeter sitting inside a complete noncompact Riemannian manifold. Under natural geometric assumptions on the ambient manifold, the strictly outward minimising hull $\
Mattia Fogagnolo, L. Mazzieri
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A long neck principle for Riemannian spin manifolds with positive scalar curvature [PDF]
Geometric and Functional Analysis, 2020 We develop index theory on compact Riemannian spin manifolds with boundary in the case when the topological information is encoded by bundles which are supported away from the boundary.
Simone Cecchini
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Application of codimension one foliation in Zermelo's problem on Riemannian manifolds
, 2014 We research the Zermelo navigation problem on Riemannian manifolds in dim ( R × M ) = 3 under the force representing the action of the perturbing “wind” distribution modeled by the vector field on manifold M . We consider a fibered manifold π : R × M →
P. Kopacz
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Gaussians on Riemannian Manifolds: Applications for Robot Learning and Adaptive Control [PDF]
IEEE robotics & automation magazine, 2019 This article presents an overview of robot learning and adaptive control applications that can benefit from a joint use of Riemannian geometry and probabilistic representations.
S. Calinon
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An Introduction to Optimization on Smooth Manifolds
, 2023 Optimization on Riemannian manifolds-the result of smooth geometry and optimization merging into one elegant modern framework-spans many areas of science and engineering, including machine learning, computer vision, signal processing, dynamical systems ...
Nicolas Boumal
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Visibility and Intersection Density for Boolean Models in Hyperbolic Space
Mathematische Nachrichten, EarlyView.ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler +2 more
wiley +1 more source