Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer’s 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kähler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory. Focusing ofthese fundamental ideas, this collection presents review articles, original results, and open problems of interest. Contributors: R.L. Bryant, J. Cheeger, X. Dai, P. Gauduchon, N. Hitchin, L. Katzarkov, J. Kollár, C. LeBrun, P. Rukimbira, S.R. Simanca, J. Sparks, C. van Coevering, and W. Ziller. Focuses on fundamental ideas and recent advances Includes and discusses open problems in Riemannian topology and related areas Contains original survey articles by distinguished researchers INDICE: Preface.- Charles P. Boyer—An Autobiographical Sketch.-Charles P. Boyer—List of Publications.- Jeff Cheeger and Xianzhe Dai L2-cohomology of non-isolated conical singularities and non-multiplicativity of the signature.- Paul Gauduchon Hirzebruch surfaces and weighted projective planes.- Nigel Hitchin Quaternionic Kähler moduli spaces.- Ludmil Katzarkov Homological mirror symmetry and Weyl tori.- János Kollár Positive Sasakian structures on 5-manifolds.- Claude LeBrun Four-manifolds, curvature bounds, and convex geometry.- Phillipe Rukimbira The 1-nullity of Sasakian manifolds.- James Sparks New results inSasaki–Einstein geometry.- Craig Van Coevering Some examples of toric Sasaki–Einstein manifolds.- Wolfgang Ziller On the geometry of cohomogeneity one manifolds with positive curvature.- Charles P. Boyer, Krzysztof Galicki and Santiago R. Simanca The Sasaki cone and extremal Sasakian metrics.- Index.
- ISBN: 978-0-8176-4742-1
- Editorial: Birkhaüser
- Encuadernacion: Cartoné
- Páginas: 310
- Fecha Publicación: 01/09/2008
- Nº Volúmenes: 1
- Idioma: Inglés