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Nonlinear Methods in Riemannian and Kahlerian Geometry

Name: Nonlinear Methods in Riemannian and Kahlerian Geometry
Brand: Springer Basel
SKU: 9783034877084
Price: 19730 HUF
Availability: InStock

Delivered at the German Mathematical Society Seminar in Dusseldorf in June, 1986

Szerző: Jürgen Jost

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer Basel

Elérhetőség: Beszállítói készleten

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In this book, I present an expanded version of the contents of my lectures at a Seminar of the DMV (...

Információk a könyvről

Szerző

Jürgen Jost

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2013

oldal

156

EAN

9783034877084

ISBN

3034877080

Enbook ID

02259227

Kiadó

Springer Basel

Súly

254

Méretek

234 x 158 x 16

Teljes leírás

In this book, I present an expanded version of the contents of my lectures at a Seminar of the DMV (Deutsche Mathematiker Vereinigung) in Düsseldorf, June, 1986. The title "Nonlinear methods in complex geometry" already indicates a combination of techniques from nonlinear partial differential equations and geometric concepts. In older geometric investigations, usually the local aspects attracted more attention than the global ones as differential geometry in its foundations provides approximations of local phenomena through infinitesimal or differential constructions. Here, all equations are linear. If one wants to consider global aspects, however, usually the presence of curvature Ieads to a nonlinearity in the equations. The simplest case is the one of geodesics which are described by a system of second ordernonlinear ODE; their linearizations are the Jacobi fields. More recently, nonlinear PDE played a more and more pro~inent röle in geometry. Let us Iist some of the most important ones: - harmonic maps between Riemannian and Kählerian manifolds - minimal surfaces in Riemannian manifolds - Monge-Ampere equations on Kähler manifolds - Yang-Mills equations in vector bundles over manifolds. While the solution of these equations usually is nontrivial, it can Iead to very signifi cant results in geometry, as solutions provide maps, submanifolds, metrics, or connections which are distinguished by geometric properties in a given context. All these equations are elliptic, but often parabolic equations are used as an auxiliary tool to solve the elliptic ones.

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Nonlinear Methods in Riemannian and Kahlerian Geometry

Delivered at the German Mathematical Society Seminar in Dusseldorf in June, 1986

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