Perspectives in Riemannian geometry
著者
書誌事項
Perspectives in Riemannian geometry
（CRM proceedings & lecture notes, v. 40）
American Mathematical Society, c2006
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注記
Includes bibliographical references
内容説明・目次
内容説明
Special geometries as well as the relation between curvature and topology have always been of interest to differential geometers. More recently, these topics have turned out to be of use in physical problems related to string theory as well. This volume provides a unique and thorough survey on the latest developments on Riemannian geometry, special geometrical structures on manifolds, and their interactions with other fields such as mathematical physics, complex analysis, and algebraic geometry. This volume presents ten papers written by participants of the 'Short Program on Riemannian Geometry', a workshop held at the CRM in Montreal in 2004. It will be a valuable reference for graduate students and research mathematicians alike.
目次
Topics in comformally compact Einstein metrics by M. T. Anderson Cauchy-Riemann 3-manifolds and Einstein fillings by O. Biquard Sasakian geometry and Einstein metrics on spheres by C. P. Boyer and K. Galicki Second order families of special Lagrangian 3-folds by R. L. Bryant Einstein equations, superpotentials and convex polytopes by A. Dancer and M. Y. Wang The Bochner-flat geometry of weighted projective spaces by L. David and P. Gauduchon Aspects of comparison geometry by K. Grove Low-dimensional geometry--A variational approach by N. Hitchin Twistors, holomorphic disks, and Riemann surfaces with boundary by C. LeBrun Combinatorics of the spaces of Riemannian structures and logic phenomena of Euclidean quantum gravity by A. Nabutovsky.
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