Medians and means in Riemannian geometry: existence, uniqueness and computation
, 2011 This paper is a short summary of our recent work on the medians and means of probability measures in Riemannian manifolds. Firstly, the existence and uniqueness results of local medians are given.
Yang, Le +2 more
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The Standard Model of particle physics in other universes [PDF]
, 2005 The purpose of this paper is to demonstrate how the mathematical objects and structures associated with the particle physics in other universes, can be inferred from the mathematical objects and structures associated with the particle physics in our own ...
McCabe, Gordon, Gordon Mccabe
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On the Riemannian Geometry of Finite Dimensional Mixed States
, 1993 We consider the Riemannian geometry of the space of nonsingular density matrices D 1 equipped with the Bures metric g B . This space is of certain physical relevance on the background of a generalization of the Berry phase to mixed states.
Jochen Dittmann
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Geometry of Warped Product Semi-Invariant Submanifolds of a Locally Riemannian Product Manifold
, 2009 2000 Mathematics Subject Classification: 53C42, 53C15. In this article, we have studied warped product semi-invariant submanifolds in a locally Riemannian product manifold and introduced the notions of a warped product semi-invariant submanifold.
openaire +1 more source
Pulling back symmetric Riemannian geometry for data analysis
Data sets tend to live in low-dimensional non-linear subspaces. Ideal data analysis tools for such data sets should therefore account for such non-linear geometry. The symmetric Riemannian geometry setting can be suitable for a variety of reasons. First,
Diepeveen, Willem
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LOCAL/GLOBAL IN PICASSO’S PAINTINGS, A RIEMANNIAN VIEW
, 2014 Simultaneity of points of view, or polycentric views, characterizes much of the twentieth century visual culture, both in geometry and in the arts, allowing the description of complex spatial relationships.
Carlini Alessandra +1 more
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GEORCE: a fast new control algorithm for computing geodesics. [PDF]
Inf GeomRygaard FM, Hauberg S.
europepmc +1 more source
RMETNet: A cross-subject motor imagery EEG signal classification model based on TSLANet and riemannian geometry features. [PDF]
PLoS OneZhao Y +9 more
europepmc +1 more source
Book Review: The method of iterated tangents with applications in local Riemannian geometry [PDF]
Bulletin of the American Mathematical Society, 1983 openaire +1 more source
Compensation phenomena in geometric partial differential equations [PDF]
In this thesis we present optimal and improved estimates for systems of critical elliptic PDE which arise as generalisations of natural geometric problems.
Sharp, Benjamin G.
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