Results 1 to 10 of about 200,378 (95)

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, A.B. Lee, B. Eckmann, D. Zhou, E.H. Spanier, F. Chazal, F.R.K. Chung, F.W. Warner, G. Carlsson, G. Carlsson, G. Gilboa, H. Edelsbrunner, J. Cheeger, J. Dodziuk, J. Dodziuk, J. Dodziuk, J. Friedman, J. Lott, J.-C. Hausmann, J.R. Munkres, Laurent Bartholdi, M.F. Atiyah, M.P. do Carmo, Nat Smale, P. Linnell, P. Pansu, R. Bott, R.L. Wilder, R.R. Coifman, S. Lang, S. Smale, S. Smale, Steve Smale, T. Schick, T. Schick, Thomas Schick, W. Dicks, W. Lück, W. Lück, W.V.D. Hodge, X. Jiang   +40 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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Tarski Geometry Axioms [PDF]

, 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, Grabowski, Adam, Richter, William   +2 more
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Investigating Off-shell Stability of Anti-de Sitter Space in String Theory [PDF]

, 2008
We propose an investigation of stability of vacua in string theory by studying their stability with respect to a (suitable) world-sheet renormalization group (RG) flow.
Adams A, Adams R A, Anderson M T, Andersson L Moncrief V, Bakas I Sourdis C, Bourguignon J-P, Cao H-D, Cao H-D, Cao H-D Hamilton R Ilmanen T, Chow B, Dai X Wang X Wei G, Feldman M Ilmanen T Ni L, Fischer A E, Giveon A, Gubser S S, Guenther C, Guenther C, Gutperle M, Headrick M, Headrick M, Holzegel G, Ishibashi A, Knopf D, Morgan J, Okawa Y, Perelman G, Perelman G, Perelman G, Schnuerer O, Sesum N, Taylor M E, Topping P, V Suneeta, Wald R M   +33 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, Girard, Guerrini, MacWilliams, SATOSHI MATSUOKA   +4 more
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Stability analysis of the Witten black hole (cigar soliton) under world-sheet RG flow

, 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, Carolyn Lambert, H-D. Cao, M. Abramowitz, Vardarajan Suneeta   +4 more
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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
doaj  

Geometric Aspects of the Moduli Space of Riemann Surfaces

, 2004
This is a survey of our recent results on the geometry of moduli spaces and Teichmuller spaces of Riemann surfaces appeared in math.DG/0403068 and math.DG/0409220. We introduce new metrics on the moduli and the Teichmuller spaces of Riemann surfaces with
A. J. Tromba, C. -C. Liu, C. T. McMullen, F. P. Gardiner, G. Schumacher, H. Masur, K. Keen, K. Liu, Kefeng Liu, L. Ahlfors, P. Deligne, R. Schoen, S. -T. Yau, S. A. Wolpert, S. A. Wolpert, S. A. Wolpert, S. Kobayashi, S. Kobayashi, S. T. Yau, S. T. Yau, S. Trapani, S. Y. Cheng, S. Y. Cheng, Shing-Tung Yau, Xiaofeng Sun, Y. T. Siu   +25 more
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