Results 1 to 10 of about 199,387 (77)
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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Stanilov-Tsankov-Videv Theory [PDF]
, 2007 We survey some recent results concerning Stanilov-Tsankov-Videv theory, conformal Osserman geometry, and Walker geometry which relate algebraic properties of the curvature operator to the underlying geometry of the manifold.Comment: This is a ...
Brozos-Vazquez, M. +8 more
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An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group [PDF]
, 2017 We show the fundamental theorems of curves and surfaces in the 3-dimensional Heisenberg group and find a complete set of invariants for curves and surfaces respectively. The proofs are based on Cartan's method of moving frames and Lie group theory. As an
Chiu, Hung-Lin +2 more
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Metric Entropy of Homogeneous Spaces
, 1997 For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$.
Szarek, Stanislaw J.
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Geometric Meanings of Curvatures in Finsler Geometry [PDF]
, 2000 In Finsler geometry, we use calculus to study the geometry of regular inner metric spaces. In this note I will briefly discuss various curvatures and their geometric meanings from the metric geometry point of view, without going into the forest of ...
Shen, Zhongmin
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A Coding Theoretic Study on MLL proof nets
, 2010 Coding theory is very useful for real world applications. A notable example is digital television. Basically, coding theory is to study a way of detecting and/or correcting data that may be true or false. Moreover coding theory is an area of mathematics,
Girard +4 more
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The geometry of $\mathbb{C}^2$ equipped with Warren's metric
, 2018 The aim of this note is to describe the geometry of $\mathbb{C}^2$ equipped with a K\"{a}hler metric defined by Warren. It is shown that with that metric $\mathbb{C}^2$ is a flat manifold.
Myga, Szymon
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SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 Özet: Bu çalışmada, diferensiyellenebilir bir manifold üzerindeki bir semi-Riemann metriğin ikinci mertebeden tam yüseltilmesi ile elde edilen nin bir semi-Riemann metriği olduğu gösterildi ve bu metriğin Levi-Civita koneksiyonu bileşenler cinsinden
İsmet AYHAN
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