TY - BOOK AU - Wells, O. Raymond TI - Differential analysis on complex manifolds T2 - Graduate Texts in Mathematics SN - 9780387738918 U1 - QA613 PY - 2008///] CY - New York PB - Springer KW - Mathematics N2 - In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems UR - https://doi.org/10.1007/978-0-387-73892-5 ER -