Results 11 to 20 of about 320,618 (278)
Geodesic Vector Fields on a Riemannian Manifold
Mathematics, 2020 A unit geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in other worlds have zero acceleration. A geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of
Sharief Deshmukh +2 more
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On hypersurfaces in a locally affine Riemannian Banach manifold [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We prove that an essential hypersurface of second order in an infinite dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
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On hypersurfaces in a locally affine Riemannian Banach manifold II
International Journal of Mathematics and Mathematical Sciences, 2004 In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
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Classification of Polarimetric SAR Images Based on the Riemannian Manifold
Leida xuebao, 2017 Classification is one of the core components in the interpretation of Polarimetric Synthetic Aperture Radar (PolSAR) images. A new PolSAR image classification approach employs the structural properties of the Riemannian manifold formed by PolSAR ...
Yang Wen +3 more
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Transnormal functions on a Riemannian manifold
, 2013 We extend theorems of É. Cartan, Nomizu, Münzner, Q.M. Wang, and Ge–Tang on isoparametric functions to transnormal functions on a general Riemannian manifold.
R. Miyaoka
semanticscholar +2 more sources
Reducing the Dimensionality of SPD Matrices with Neural Networks in BCI
Mathematics, 2023 In brain–computer interface (BCI)-based motor imagery, the symmetric positive definite (SPD) covariance matrices of electroencephalogram (EEG) signals with discriminative information features lie on a Riemannian manifold, which is currently attracting ...
Zhen Peng +3 more
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On conformal transformations of metrics of Riemannian paracomplex manifolds
Дифференциальная геометрия многообразий фигур, 2021 A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost paracomplex manifold. In the present paper, we consider conformal transformations of metrics of Riemannian paracomplex manifolds.
S.E. Stepanov +2 more
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On Polyharmonic Riemannian Manifolds
Zeitschrift für Analysis und ihre Anwendungen, 1987 A natural generalization of the harmonic manifolds is considered: a Riemannian manifold is called k -harmonic or polyharmonic if it admits a non-constant k -harmonic
Schimming, R., Kowolik, J.
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Pseudo-manifold geometries with applications [PDF]
, 2006 A Smarandache geometry is a geometry which has at least one Smarandachely denied axiom(1969), i.e., an axiom behaves in at least two different ways within the same space, i.e., validated and invalided, or only invalided but in multiple distinct ways and ...
Mao, Linfan, Linfan Mao
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Information-Geometric Markov Chain Monte Carlo Methods Using Diffusions [PDF]
, 2014 Recent work incorporating geometric ideas in Markov chain Monte Carlo is reviewed in order to highlight these advances and their possible application in a range of domains beyond statistics. A full exposition of Markov chains and their use in Monte Carlo
Livingstone, Samuel +5 more
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