| book details |

Geometry and Spectra of Compact Riemann Surfaces

By (author) Peter Buser

This book is currently unavailable. Enquire to check if we can source a used copy

| enquire |

| book description |

This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature -1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces. The first part of the book is written in textbook form at the graduate level, with few requisites other than background in either differential geometry or complex Riemann surface theory. It begins with an account of the Fenchel-Nielsen approach to Teichmuller Space. Hyperbolic trigonometry and Bers' partition theorem (with a new proof which yields explicit bounds) are shown to be simple but powerful tools in this context. The second part of the book is a self-contained introduction to the spectrum of the Laplacian based on head equations. The approach chosen yields a simple proof that compact Riemann surfaces have the same eigenvalues if and only if they have the same length spectrum. Later chapters deal with recent developments on isospectrality, Sunada's construction, a simplified proof of Wolpert's theorem, and an estimate fo the number of pairwise isospectral non-isometric examples which depends only on genus. Research workers and graduate students interested in compact Riemann surfaces will find here a number of useful tools and insights to apply to their investigations.

| product details |

| other options |

| back |

| your trolley |

To view the items in your trolley please sign in.

| sign in |

| specials |

The Memory Collectors: A Novel

Dete Meserve
Paperback / softback
320 pages

Enquiries only

| more |

| enquire |

The Colonialist: The Vision of Cecil Rhodes

William Kelleher Storey
Paperback / softback
528 pages
was: R 425.95
now: R 382.95
Usually dispatched in 6-12 days

This first comprehensive biography of Cecil Rhodes in a generation illuminates Rhodesâ€™s vision for the expansion of imperialism in southern Africa, connecting politics and industry to internal development, and examines how this fueled a lasting, white-dominated colonial society.

| more |

| add to trolley |

The Coming Wave: AI, Power and Our Future

Mustafa Suleyman
Paperback / softback
352 pages
was: R 295.95
now: R 265.95
Stock is usually dispatched in 6-12 days from date of order

| more |

| add to trolley |

Survive the AI Apocalypse: A guide for solutionists

Bronwyn Williams
Paperback / softback
232 pages
was: R 340.95
now: R 306.95
Forthcoming

Look around you is anything real or normal any more? News, images and videos created by AI are everywhere.

| more |

| add to trolley |