Function Theory on Manifolds Which Possess a Pole

Preliminaries.- The Hessian comparison theorem.- Sub-mean-value theorem for subharmonic functions.- Quasi-isometry of the exponential map and the absence of positive harmonic functions.- New criterion of hyperbolicity.- Bounded exhaustion functions and a new class of hyperbolic K¿er manifolds.- A digression.- The Bergman metric.- Manifolds biholomorphic to ?n.

List of contents

Preliminaries.- The Hessian comparison theorem.- Sub-mean-value theorem for subharmonic functions.- Quasi-isometry of the exponential map and the absence of positive harmonic functions.- New criterion of hyperbolicity.- Bounded exhaustion functions and a new class of hyperbolic Kähler manifolds.- A digression.- The Bergman metric.- Manifolds biholomorphic to ?n.

Product details

• Authors: R. E. Greene, R.E. Greene, H. Wu
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 29.06.2009
• EAN: 9783540091080
• ISBN: 978-3-540-09108-0
• No. of pages: 218
• Dimensions: 156 mm x 236 mm x 14 mm
• Weight: 357 g
• Illustrations: IV, 218 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis