Supermanifolds (Cambridge Monographs on Mathematical Physics)

By Bryce Dewitt.

Supermanifolds (Cambridge Monographs on Mathematical Physics)

Description

This book presents a detailed exposition of the modern theory of supermanifolds, including a rigorous account of the super-analogs of all the basic structures of ordinary manifold theory. The exposition opens with the theory of analysis over supernumbers (Grassmann variables), Berezin integration, supervector spaces and the superdeterminant. This basic material is then applied to the theory of supermanifolds, with an account of the super-analog of Lie derivatives, connections, metrics, curvature, geodesics, Killing flows, conformal groups, etc. The book goes on to discuss the theory of supe...

ISBN(s)

0521311764, 9780521311762

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