Results 11 to 20 of about 511,827 (110)
Some problems in mathematics and mathematical physics [PDF]
arXiv, 2020 We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and construction of noncommutative algebraic geometry.
arxiv
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
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
core +1 more source
The Hirsch conjecture holds for normal flag complexes
, 2014 Using an intuition from metric geometry, we prove that any flag and normal simplicial complex satisfies the non-revisiting path conjecture. As a consequence, the diameter of its facet-ridge graph is smaller than the number of vertices minus the dimension,
Adiprasito, Karim Alexander +1 more
core +1 more source
The fundamental group of non-negatively curved manifolds [PDF]
, 1998 The aim of this article is to offer a brief survey of an interesting, yet accessible line of research in Differential Geometry. A fundamental problem of mathematics is to understand the relationship between the geometry and topology of manifolds.
Wraith, David
core
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 +4 more
core +1 more source
The notion of dimension in geometry and algebra [PDF]
arXiv, 2005 This talk reviews some mathematical and physical ideas related to the notion of dimension. After a brief historical introduction, various modern constructions from fractal geometry, noncommutative geometry, and theoretical physics are invoked and compared.
arxiv
Non-Archimedean Geometry and Physics on Adelic Spaces [PDF]
arXiv, 2003 This is a brief review article of various applications of non-Archimedean geometry, p-adic numbers and adeles in modern mathematical physics.
arxiv
Integrable geometry and Soliton equations in 2+1 dimensions [PDF]
arXiv, 1998 Some aspects of the connection between differential geometry and multidimensional soliton equations are discussed.
arxiv
Jets and connections in commutative and noncommutative geometry [PDF]
arXiv, 1999 It is emphasized that equivalent definitions of connections on modules over commutative rings are not so in noncommutative geometry.
arxiv