Download e-book for kindle: Moduli Spaces of Riemannian Metrics (Oberwolfach Seminars) by Wilderich Tuschmann,David J. Wraith

By Wilderich Tuschmann,David J. Wraith

This booklet reviews sure areas of Riemannian metrics on either compact and non-compact manifolds. those areas are outlined by means of numerous sign-based curvature stipulations, with unique cognizance paid to confident scalar curvature and non-negative sectional curvature, notwithstanding we additionally examine confident Ricci and non-positive sectional curvature. If we shape the quotient of the sort of area of metrics below the motion of the diffeomorphism team (or in all likelihood a subgroup) we receive a moduli area. realizing the topology of either the unique house of metrics and the corresponding moduli house shape the crucial topic of this ebook. for instance, what could be acknowledged in regards to the connectedness or many of the homotopy teams of such areas? We discover the main ends up in the realm, yet supply adequate historical past in order that a non-expert with a grounding in Riemannian geometry can entry this growing to be region of research.

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Moduli Spaces of Riemannian Metrics (Oberwolfach Seminars) by Wilderich Tuschmann,David J. Wraith

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