**Geometric Wave Equations**

by Stefan Waldmann

**Publisher**: arXiv 2012**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.

Download or read it online for free here:

**Download link**

(3.5MB, PDF)

## Similar books

**Exterior Differential Systems**

by

**Robert L. Bryant, et al.**-

**MSRI**

An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. This book gives a treatment of exterior differential systems. It includes both the theory and applications.

(

**2019**views)

**Projective Differential Geometry Of Curves And Surfaces**

by

**Ernest Preston Lane**-

**The University Of Chicago Press**

Projective Differential Geometry is largely a product of the first three decades of the twentieth century. The theory has been developed in five or more different languages, by three or four well-recognized methods, in various and sundry notations.

(

**1046**views)

**Triangles, Rotation, a Theorem and the Jackpot**

by

**Dave Auckly**-

**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.

(

**4851**views)

**Tight and Taut Submanifolds**

by

**Thomas E. Cecil, Shiing-shen Chern**-

**Cambridge University Press**

Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.

(

**6859**views)