Visit our Christmas Gift Finder
Click & Collect from 2 Hours
Last Christmas Delivery Dates
Free UK Standard Delivery on orders £20 and over Order in time for Christmas 18th December 2nd Class | 19th December 1st Class Free Click & Collect to shops From 2 hours of your order*
Spectral Asymptotics on Degenerating Hyperbolic 3-manifolds - Memoirs of the American Mathematical Society (Paperback)
  • Spectral Asymptotics on Degenerating Hyperbolic 3-manifolds - Memoirs of the American Mathematical Society (Paperback)
zoom

Spectral Asymptotics on Degenerating Hyperbolic 3-manifolds - Memoirs of the American Mathematical Society (Paperback)

(author), (author)
£47.50
Paperback 75 Pages / Published: 30/08/1998
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
In this volume, the authors study asymptotics of the geometry and spectral theory of degenerating sequences of finite volume hyperbolic manifolds of three dimensions. Thurston's hyperbolic surgery theorem asserts the existence of non-trivial sequences of finite volume hyperbolic three manifolds which converge to a three manifold with additional cusps. In the geometric aspect of their study, the authors use the convergence of hyperbolic metrics on the thick parts of the manifolds under consideration to investigate convergence of tubes in the manifolds of the sequence to cusps of the limiting manifold.In the spectral theory aspect of the work, they prove convergence of heat kernels. They then define a regularized heat trace associated to any finite volume, complete, hyperbolic three manifold, and study its asymptotic behavior through degeneration. As an application of the analysis of the regularized heat trace, they study asymptotic behavior of the spectral zeta function, determinant of the Laplacian, Selberg zeta function, and spectral counting functions through degeneration. The authors' methods are an adaptation to three dimensions of the earlier work of Jorgenson and Lundelius who investigated the asymptotic behavior of spectral functions on degenerating families of finite area hyperbolic Riemann surfaces.

Publisher: American Mathematical Society
ISBN: 9780821808375
Number of pages: 75
Weight: 167 g
Dimensions: 254 x 184 mm

You may also be interested in...

Fractals: A Very Short Introduction
Added to basket
Trigonometry For Dummies
Added to basket
Euclid's Elements
Added to basket
£31.99
Hardback
Islamic Design
Added to basket
£5.99
Paperback
Introduction to Smooth Manifolds
Added to basket
Symmetry: A Very Short Introduction
Added to basket
Elliptic Tales
Added to basket
£13.99
Paperback
Introduction to Topology
Added to basket
Algebraic Topology
Added to basket
£30.99
Paperback
Maths for Science
Added to basket
£35.99
Paperback
Euclid's Window
Added to basket
Mathematical Origami
Added to basket
Measurement
Added to basket
£15.95
Paperback
Ruler and Compass
Added to basket
£5.99
Paperback

Reviews

Please sign in to write a review

Your review has been submitted successfully.