Results 1 to 10 of about 196,160 (171)

Hodge Theory on Metric Spaces [PDF]

open access: yes, 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
core   +2 more sources

Teichmuller Space and Related Topics : Proceedings of the workshop on Geometry, January 20, 2011, JOSAI UNIVERSITY [PDF]

open access: yes, 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
core   +1 more source

Tarski Geometry Axioms [PDF]

open access: yes, 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
core   +2 more sources

Marriages of Mathematics and Physics: A Challenge for Biology [PDF]

open access: yes, 2017
The human attempts to access, measure and organize physical phenomena have led to a manifold construction of mathematical and physical spaces. We will survey the evolution of geometries from Euclid to the Algebraic Geometry of the 20th century.
Islami, Arezoo, Longo, Giuseppe
core   +1 more source

Chains in CR geometry as geodesics of a Kropina metric [PDF]

open access: yes, 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
core   +2 more sources

Metric Entropy of Homogeneous Spaces

open access: yes, 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.
core   +3 more sources

Geometric Meanings of Curvatures in Finsler Geometry [PDF]

open access: yes, 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
core   +2 more sources

A Coding Theoretic Study on MLL proof nets

open access: yes, 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
core   +1 more source

Stability analysis of the Witten black hole (cigar soliton) under world-sheet RG flow

open access: yes, 2012
We analyze the stability of the Euclidean Witten black hole (the cigar soliton in mathematics literature) under first-order RG (Ricci) flow of the world-sheet sigma model. This analysis is from the target space point of view.
B. Chow   +4 more
core   +1 more source

SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ

open access: yesSüleyman 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
doaj  

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