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SPD Data Dictionary Learning Based on Kernel Learning and Riemannian Metric
IEEE Access, 2020 The use of regional covariance descriptors to generate feature data represented by Symmetric Positive Definite (SPD) matrices from images or videos has become increasingly common in machine learning.
Rixin Zhuang +3 more
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Measure of Similarity between GMMs Based on Autoencoder-Generated Gaussian Component Representations
Axioms, 2023 A novel similarity measure between Gaussian mixture models (GMMs), based on similarities between the low-dimensional representations of individual GMM components and obtained using deep autoencoder architectures, is proposed in this paper.
Vladimir Kalušev +4 more
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On Certain Mappings of Riemannian Manifolds [PDF]
Nagoya Mathematical Journal, 1965 In this paper we consider certain tensors associated with differentiable mappings of Riemannian manifolds and apply the results to a p-mapping, which is a special case of a subprojective one in affinely connected manifolds (cf. [1], [7]). The p-mapping in Riemannian manifolds is a generalization of a conformal mapping and a projective one. From a point
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Visualization of the Image Geometric Transformation Group Based on Riemannian Manifold
IEEE Access, 2019 Geometric transformations of images are the predominant factor, which influences the effectiveness of visual tracking and detection tasks in computer vision.
Tianci Liu, Zelin Shi, Yunpeng Liu
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Optimal inequalities for Riemannian maps and Riemannian submersions involving Casorati curvatures
Annali di Matematica Pura ed Applicata (1923 -), 2020 The authors consider Riemannian maps and Riemannian submersions to obtain optimal inequalities in the theory of Riemannian maps, Riemannian submersions to space forms. The method is based on Casorati curvature. The important results in this work are described in the following sections: Riemannian maps to real space forms, Riemannian maps to complex ...
Chul Woo Lee +3 more
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Nonexistence of stable F-stationary maps of a functional related to pullback metrics
Journal of Inequalities and Applications, 2017 Let M m $M^{m}$ be a compact convex hypersurface in R m + 1 $R^{m+1}$ . In this paper, we prove that if the principal curvatures λ i $\lambda_{i}$ of M m $M^{m}$ satisfy 0 < λ 1 ≤ ⋯ ≤ λ m ...
Jing Li, Fang Liu, Peibiao Zhao
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SLANT RIEMANNIAN MAPS TO KÄHLER MANIFOLDS
International Journal of Geometric Methods in Modern Physics, 2012 We introduce slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds as a generalization of slant immersions, invariant Riemannian maps and anti-invariant Riemannian maps. We give examples, obtain characterizations and investigate the harmonicity of such maps. We also obtain necessary and sufficient conditions for slant Riemannian
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f-biharmonic Maps Between Riemannian Manifolds [PDF]
, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Conformal Slant Riemannian Maps to Kähler Manifolds
Tokyo Journal of Mathematics, 2019 As a generalization of slant submanifolds and slant Riemannian maps, we introduce conformal slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds. We give non-trivial examples, investigate the geometry of foliations and obtain decomposition theorems by using the existence of conformal Riemannian maps.
Akyol, Mehmet Akif, Sahin, Bayram
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A Liouville theorem for $F$-harmonic maps with finite $F$-energy
Electronic Journal of Differential Equations, 2006 Let $(M,g)$ be a $m$-dimensional complete Riemannian manifold with a pole, and $(N,h)$ a Riemannian manifold. Let $F : mathbb{R}^{+}o mathbb{R}^{+} $ be a strictly increasing $C^{2}$ function such that $F(0)=0$ and $d_{F}:=sup(tF'(t)(F(t))^{-1 ...
M'hamed Kassi
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