DIFFERENTIAL GEOMETRY FROM DIFFERENTIAL EQUATIONS [PDF]
The Ninth Marcel Grossmann Meeting, 2001 37 pages, revised version with ...
Frittelli, Simonetta +2 more
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Metric connections in projective differential geometry [PDF]
, 2008 We search for Riemannian metrics whose Levi-Civita connection belongs to a given projective class. Following Sinjukov and Mikes, we show that such metrics correspond precisely to suitably positive solutions of a certain projectively invariant finite-type
Michael Eastwood, Vladimir S. Matveev
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Affine differential geometry of osculating hypersurfaces
Lietuvos Matematikos Rinkinys, 2012 Osculating surfaces of second order have been studied in classical affine differential geometry [1]. In this article we generalize this notion to osculating hypersurfaces of higher order of hypersurfaces in Euclidean n-space.
Kazimieras Navickis
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Differential geometry via infinitesimal displacements
, 2015 We present a new formulation of some basic differential geometric notions on a smooth manifold M, in the setting of nonstandard analysis. In place of classical vector fields, for which one needs to construct the tangent bundle of M, we define a prevector
Tahl Nowik, Mikhail Katz
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Online Handwriting Recognition Method with a Non-Inertial Reference Frame Based on the Measurement of Linear Accelerations and Differential Geometry: An Alternative to Quaternions [PDF]
MicromachinesThis work describes a mathematical model for handwriting devices without a specific reference surface (SRS). The research was carried out on two hypotheses: the first considers possible circular segments that could be made during execution for the ...
Griselda Stephany Abarca Jiménez +5 more
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Revisiting Volterra defects: geometrical relation between edge dislocations and wedge disclinations [PDF]
Royal Society Open ScienceThis study presents a comprehensive mathematical model for Volterra defects and explores their relations using differential geometry on Riemann–Cartan manifolds.
Shunsuke Kobayashi +2 more
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∗-K-Operator Frame for Hom∗A(X)
European Journal of Mathematical Analysis, 2021 In this work, we introduce the concept of ∗-K-operator frames in Hilbert pro-C∗-modules, which is a generalization of K-operator frame. We present the analysis operator, the synthesis operator and the frame operator.
Mohamed Rossafi +2 more
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Nutrigonometry III: curvature, area and differences between performance landscapes
Royal Society Open Science, 2022 Nutrition is one of the underlying factors necessary for the expression of life-histories and fitness across the tree of life. In recent decades, the geometric framework (GF) has become a powerful framework to obtain biological insights through the ...
Juliano Morimoto +2 more
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Controlled K-Fusion Frame for Hilbert Spaces
Moroccan Journal of Pure and Applied Analysis, 2021 K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which
Assila Nadia +2 more
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On fixed point theorems in C∗-algebra valued b-asymmetric metric spaces
AIMS Mathematics, 2022 In this paper, we introduce the notion of $ C^* $-algebra-valued $ b $-asymmetric metric spaces and show several fixed point theorems that improve on a range of recent works in the literature.
Ouafaa Bouftouh +3 more
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