Differential Geometry of Complex Vector Bundles (eBook)

Shoshichi Kobayashi (Autor)

eBook Download: PDF

2014
318 Seiten
Princeton University Press (Verlag)
978-1-4008-5868-2 (ISBN)

Infos

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate students in these various fields of mathematics.Originally published in 1987.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Produkt-Details

• Erscheint lt. Verlag: 14.7.2014
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• Schlagworte: Addition • Alexander Grothendieck • Algebraic Curve • Algebraic Geometry • Algebraic manifold • algebraic surface • Ample line bundle • automorphism • axiomatic system • C0 • Chern class • Codimension • Coherent sheaf • cohomology • Compact space • Complex Analysis • Complex dimension • complex manifold • Complex torus • Complex-valued function • Complex vector bundle • Connection form • Constant function • Contradiction • coordinate system • Coprime integers • corollary • cotangent bundle • cotangent space • Covering space • Curvature • Curvature form • Curve • Differential Geometry • Dimension • Divisor • Duality (mathematics) • Eigenvalues and Eigenvectors • Endomorphism • Equation • exact sequence • existential quantification • fiber bundle • fundamental group • Geometry • harmonic map • Hartogs' extension theorem • Hermitian matrix • Hodge Theory • holomorphic function • Holomorphic vector bundle • Homomorphism • Identity matrix • Initial Condition • Isomorphism Theorem • K3 surface • Kähler manifold • Lie algebra • Lie group • Linear map • line bundle • manifold • Mathematics • Maximal compact subgroup • mean curvature • Module (mathematics) • moduli space • Natural number • ordinary differential equation • Orthogonal complement • partial differential equation • Positive semidefinite • principal bundle • projective space • Ricci curvature • Riemannian manifold • Riemann–Roch theorem • Riemann surface • scalar curvature • sectional curvature • Serre Duality • Sheaf (mathematics) • Shoshichi Kobayashi • Simply connected space • Smoothness • Special case • Stable vector bundle • Symplectic Geometry • tangent bundle • Tangent Space • tensor field • Theorem • Topology • Torsion-free module • Transition function • Unitary Group • Unitary matrix • vector bundle • Vector Space • Yang–Mills Theory
• ISBN-10: 1-4008-5868-2 / 1400858682
• ISBN-13: 978-1-4008-5868-2 / 9781400858682