Logo

Geometric Wave Equations by Stefan Waldmann

Small book cover: Geometric Wave Equations

Geometric Wave Equations
by

Publisher: arXiv
Number of pages: 279

Description:
In these lecture notes we discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed including a detailed treatment of the Cauchy problem on a globally hyperbolic manifold both for the smooth and finite order setting.

Home page url

Download or read it online for free here:
Download link
(3.5MB, PDF)

Similar books

Book cover: Lectures on Fibre Bundles and Differential GeometryLectures on Fibre Bundles and Differential Geometry
by - Tata Institute of Fundamental Research
From the table of contents: Differential Calculus; Differentiable Bundles; Connections on Principal Bundles; Holonomy Groups; Vector Bundles and Derivation Laws; Holomorphic Connections (Complex vector bundles, Almost complex manifolds, etc.).
(9635 views)
Book cover: An Introduction to Gaussian GeometryAn Introduction to Gaussian Geometry
by - Lund University
These notes introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra and real analysis.
(10466 views)
Book cover: Triangles, Rotation, a Theorem and the JackpotTriangles, Rotation, a Theorem and the Jackpot
by - arXiv
This paper introduced undergraduates to the Atiyah-Singer index theorem. It includes a statement of the theorem, an outline of the easy part of the heat equation proof. It includes counting lattice points and knot concordance as applications.
(7857 views)
Book cover: The Convenient Setting of Global AnalysisThe Convenient Setting of Global Analysis
by - American Mathematical Society
This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory.
(12537 views)