Results 11 to 20 of about 298,816 (215)
From linear to metric functional analysis
Proceedings of the National Academy of Sciences of the United States of America, 2021 Significance Metric geometry is a considerable extension of Riemannian geometry that, in recent decades, has proven very useful. A newer direction described in this article can moreover be viewed as an extension of functional analysis.
A. Karlsson
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On Geometry of Manifolds with Some Tensor Structures and Metrics of Norden Type [PDF]
arXiv: Differential Geometry, 2017 The object of study in the present dissertation are some topics in differential geometry of smooth manifolds with additional tensor structures and metrics of Norden type. There are considered four cases depending on the dimension of the manifold: 2n, 2n + 1, 4n and 4n + 3.
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Hodge Theory on Metric Spaces [PDF]
, 2011 Hodge theory is a beautiful synthesis of geometry, topology, and analysis, which has been developed in the setting of Riemannian manifolds. On the other hand, spaces of images, which are important in the mathematical foundations of vision and pattern ...
A. Zomorodian +40 more
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, 2014 This is the translation of the Mizar article containing readable Mizar proofs of some axiomatic geometry theorems formulated by the great Polish mathematician Alfred Tarski [8], and we hope to continue this work.
Alama, Jesse +2 more
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Teichmuller Space and Related Topics : Proceedings of the workshop on Geometry, January 20, 2011, JOSAI UNIVERSITY [PDF]
, 2012 We exhibit a pseudo-Hermitian metric on the moduli space/Teichmuller space of hyperelliptic curves of genus g ≧ 2. The pseudometric is defined using the area form on the moduli space of Euclidean cone structures which are obtained by taking quotients of ...
大鹿, 健一, 西, 晴子
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Communications in Mathematics, 2018 In this paper, we introduce the Mus-Sasaki metric on the tangent bundle T M as a new natural metric non-rigid on T M. First we investigate the geometry of the Mus-Sasakian metrics and we characterize the sectional curvature and the scalar curvature.
A. Zagane, Mustapha Djaa
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Chains in CR geometry as geodesics of a Kropina metric [PDF]
, 2019 With the help of a generalization of the Fermat principle in general relativity, we show that chains in CR geometry are geodesics of a certain Kropina metric constructed from the CR structure.
Cheng, Jih-Hsin +3 more
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, 2021 The paper deals with issues of the metric geometry basics. In particular, the concept of rectilinear placement of points is considered, based on the axioms of the distance between two points of metric space.
V. Kuz’mich, L. Kuzmich
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Bicycle paths, elasticae and sub-Riemannian geometry [PDF]
, 2020 We relate the sub-Riemannian geometry on the group of rigid motions of the plane to ‘bicycling mathematics’. We show that this geometry’s geodesics correspond to bike paths whose front tracks are either non-inflectional Euler elasticae or straight lines,
A. Ardentov +4 more
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Norms that regulate the management of virtual mathematics classes in the COVID-19 context
, 2021 The standards regulating class management and learning negotiation is a topic of interest to the mathematics education research community. In the context of virtuality as a result of the Covid-19 pandemic, it is necessary to study the type of standards ...
C. N. Peña, L. Pino-Fan, A. Assis
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