Results 11 to 20 of about 712,298 (331)

Differential K-theory. A survey [PDF]

open access: yes, 2011
Generalized differential cohomology theories, in particular differential K-theory (often called "smooth K-theory"), are becoming an important tool in differential geometry and in mathematical physics.
Bär, Christian   +2 more
core   +1 more source

Topics in algebra, geometry and differential equations [PDF]

open access: yes, 2022
The study of differential equations and the study of algebraic geometry are two disciplines within mathematics that seem to be mostly disjoint from each other. Looking deeper, however, one finds that connections do exist.
Noordman, Marc Paul
core   +1 more source

Antanas Virvičius – Vilniaus universiteto matematikos profesorius (1817–1831) [PDF]

open access: yes, 2021
Antoni Wyrwicz (1791–1865) was a professor of higher mathematics at the Vilnius university in the period from 1817 until 1831. Wyrwicz taught algebra by tractate of Sniadecki and Burdon, spherical trigonometry by Sniadecki, Cagnoli, Delambre Neper ...
Gečiauskas, Evaldas
core   +2 more sources

Discrete Differential Geometry [PDF]

open access: yes, 2006
Discrete Differential Geometry is a broad new area where differential geometry (studying smooth curves, surfaces and other manifolds) interacts with discrete geometry (studying polyhedral manifolds), using tools and ideas from all parts of mathematics ...

core   +2 more sources

Coarse geometry and its applications in solid state physics [PDF]

open access: yesarXiv, 2023
In this article, we give an overview over recent developments in the mathematical treatment of topological insulators using coarse geometry.
arxiv  

Axiomatic Differential Geometry II-2: Differential Forms [PDF]

open access: yes, 2012
We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated.
H. Nishimura
semanticscholar   +1 more source

Noncommutative Geometry [PDF]

open access: yes, 2015
These reports contain an account of 2015’s meeting on noncommutative geometry. Noncommutative geometry has developed itself over the years to a completely new branch of mathematics shedding light on many other areas as number theory, differential ...

core   +2 more sources

Differential Geometry of Microlinear Frolicher Spaces IV-1 [PDF]

open access: yes, 2010
The central object of synthetic differential geometry is microlinear spaces. In our previous paper [Microlinearity in Frolicher spaces -beyond the regnant philosophy of manifolds-, International Journal of Pure and Applied Mathematics, 60 (2010), 15-24 ...
H. Nishimura
semanticscholar   +1 more source

Arcs, Cords and Felts - Six instances of the Linearization Principle

open access: yes, 2009
It is shown how a selection of prominent results in singularity theory and differential geometry can be deduced from one theorem, the Rank Theorem for maps between spaces of power series.Comment: to be published in "The American Journal of ...
Bruschek, Clemens, Hauser, Herwig
core   +3 more sources

Multiplicities of Noetherian deformations [PDF]

open access: yes, 2015
The \emph{Noetherian class} is a wide class of functions defined in terms of polynomial partial differential equations. It includes functions appearing naturally in various branches of mathematics (exponential, elliptic, modular, etc.).
Binyamini, Gal, Novikov, Dmitry
core   +1 more source

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