Minimal Retraction of Space-time and Their Foldings [PDF]
, 2009 The folding of a manifold was, firstly introduced by Robertson in [1977] . Since then many authers have studied the folding of manifolds s. The deformation retracts of the manifolds defined and discussed.
El-Ahmady, A. E., Rafat, H.
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On semi-symmetric metric connection in sub-Riemannian manifold
, 2016 The authors firstly in this paper define a semi-symmetric metric non-holonomic connection (in briefly, SS-connection) on sub-Riemannian manifolds. An invariant under a SS-connection transformation is obtained.
Yanling Han, Fengyun Fu, P. Zhao
semanticscholar +1 more source
Sheaves of nonlinear generalized functions and manifold-valued distributions
, 2009 This paper is part of an ongoing program to develop a theory of generalized differential geometry. We consider the space G[X,Y] of Colombeau generalized functions defined on a manifold X and taking values in a manifold Y. This space is essential in order
Steinbauer, Roland +5 more
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A new curvature-like tensor in an almost contact Riemannian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2016 In a M. Prvanović’s paper [5], we can find a new curvature-like tensor in an almost Hermitian manifold.In this paper, we define a new curvature-like tensor, named contact holomorphic Riemannian, briefly (CHR), curvature tensor in an almost ...
Koji Matsumoto
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Using distance on the Riemannian manifold to compare representations in brain and in models
NeuroImage, 2021 Representational similarity analysis (RSA) summarizes activity patterns for a set of experimental conditions into a matrix composed of pairwise comparisons between activity patterns.
Mahdiyar Shahbazi +3 more
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Optimization of 3D‐Printed Structured Packings—Current State and Future Developments
Chemie Ingenieur Technik, EarlyView.This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke +3 more
wiley +1 more source
Combining Multiple Kernel Methods on Riemannian Manifold for Emotion Recognition in the Wild
International Conference on Multimodal Interaction, 2014 In this paper, we present the method for our submission to the Emotion Recognition in the Wild Challenge (EmotiW 2014). The challenge is to automatically classify the emotions acted by human subjects in video clips under real-world environment.
Mengyi Liu +5 more
semanticscholar +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]
Opuscula Mathematica, 2005 Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
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On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric; pp. 149–157 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 The purpose of the present article is to find solutions to a system of partial differential equations that characterize infinitesimal holomorphically projective transformations on the tangent bundle with the Sasaki metric and an adapted almost complex ...
Aydin Gezer
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