The once a year Surveys in Differential Geometry quantity is acquired with anticipation every year because it summarizes the various fresh discoveries within the box. This year's quantity is devoted to Professors Calabi, Lawson, Siu, and Uhlenbeck. It comprises vital contributions by means of their scholars and co-workers and displays the $64000 paintings within the box through those nice mathematicians. the quantity is acceptable for graduate scholars and researchers attracted to geometry and topology. desk of Contents: 1. Projective planes, Severi types and spheres - M. Atiyah and J. Berndt 2. Degeneration of Einstein metrics and metrics with exact holonomy - J. Cheeger three. The min-max development of minimum surfaces - T. H. Colding and C. De Lellis four. common quantity bounds in Riemannian manifolds - C. B. Croke and M. Katz five. A Kawamata-Viehweg vanishing theorem on compact Kahler manifolds - J.-P. Demailly and T. Peternell 6. second maps in differential geometry - S. okay. Donaldson 7. neighborhood tension for cocycles - D. Fisher and G. A. Margulis eight. Einstein metrics, four-manifolds, and differential topology - C. LeBrun nine. Topological quantum box concept for Calabi-Yau threefolds and $G_2$-manifold - N. C. Leung 10. Geometric ends up in classical minimum floor thought - W. H. Meeks III eleven. On worldwide life of wave maps with severe regularity - A. Nahmod 12. Discreteness of minimum versions of Kodaira measurement 0 and subvarieties of moduli stacks - E. Viehweg and ok. Zuo thirteen. Geometry of the Weil-Petersson of completion of Teichmüller house - S. A. Wolpert
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