04014nam a22003735a 450000100100000000300120001000500170002200600190003900700150005800800410007302000180011402400210013204000140015307200170016708400150018424501140019926000820031326400820039530000340047733600260051133700260053733800360056334700240059949000500062350512890067350600650196252013700202765000470339765000310344470000370347570000260351285600320353885600700357081-091109CH-001817-320170613140743.0a fot ||| 0|cr nn mmmmamaa091109e20080611sz fot ||| 0|eng d a978303719551270a10.4171/0512doi ach0018173 7aPBMP2bicssc a53-xx2msc10aRecent Developments in Pseudo-Riemannian Geometryh[electronic resource] /cDmitri V. Alekseevsky, Helga Baum3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2008 1aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2008 a1 online resource (549 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aESI Lectures in Mathematics and Physics (ESI)00tThe classification problem for pseudo-Riemannian symmetric spaces /rInes Kath, Martin Olbrich --tHolonomy groups of Lorentzian manifolds: classification, examples, and applications /rAnton Galaev, Thomas Leistner --tHypersymplectic manifolds /rAndrew Dancer, Andrew Swann --tAnti-self-dual conformal structures in neutral signature /rMaciej Dunajski, Simon West --tA neutral Kähler surface with applications in geometric optics /rBrendan Guilfoyle, Wilhelm Klingenberg --tA primer on the (2 + 1) Einstein universe /rThierry Barbot, Tomasz Kaszynski, Todd A. Drumm, William M. Goldman, Karin Melnick --tEssential conformal structures in Riemannian and Lorentzian geometry /rCharles Frances --tConformal transformations of pseudo-Riemannian manifolds /rWolfgang Kühnel, Hans-Bert Rademacher --tThe causal hierarchy of spacetimes /rEttore Minguzzi, Miguel Sánchez --tGeodesics in semi-Riemannian manifolds: geometric properties and variational tools /rAnna Maria Candela, Miguel Sánchez --tLorentzian symmetric spaces in supergravity /rJosé Miguel Figueroa-O’Farrill --tMetric bundles of split signature and type II supergravity /rFrederik Witt --tEinstein metrics with 2-dimensional Killing leaves and their physical interpretation /rGaetano Vilasi.1 aRestricted to subscribers:uhttp://www.ems-ph.org/ebooks.php aThis book provides an introduction to and survey of recent developments in pseudo-Riemannian geometry, including applications in mathematical physics, by leading experts in the field. Topics covered are: Classification of pseudo-Riemannian symmetric spaces Holonomy groups of Lorentzian and pseudo-Riemannian manifolds Hypersymplectic manifolds Anti-self-dual conformal structures in neutral signature and integrable systems Neutral Kähler surfaces and geometric optics Geometry and dynamics of the Einstein universe Essential conformal structures and conformal transformations in pseudo-Riemannian geometry The causal hierarchy of spacetimes Geodesics in pseudo-Riemannian manifolds Lorentzian symmetric spaces in supergravity Generalized geometries in supergravity Einstein metrics with Killing leaves The book is addressed to advanced students as well as to researchers in differential geometry, global analysis, general relativity and string theory. It shows essential differences between the geometry on manifolds with positive definite metrics and on those with indefinite metrics, and highlights the interesting new geometric phenomena, which naturally arise in the indefinite metric case. The reader finds a description of the present state of art in the field as well as open problems, which can stimulate further research.07aDifferential & Riemannian geometry2bicssc07aDifferential geometry2msc1 aAlekseevsky, Dmitri V.,eeditor.1 aBaum, Helga,eeditor.40uhttps://doi.org/10.4171/051423cover imageuhttp://www.ems-ph.org/img/books/alekseevsky_mini.jpg