0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry

Buy Now

Complete Minimal Surfaces of Finite Total Curvature (Paperback, Softcover reprint of hardcover 1st ed. 1994) Loot Price: R2,873
Discovery Miles 28 730
Complete Minimal Surfaces of Finite Total Curvature (Paperback, Softcover reprint of hardcover 1st ed. 1994): Kichoon Yang

Complete Minimal Surfaces of Finite Total Curvature (Paperback, Softcover reprint of hardcover 1st ed. 1994)

Kichoon Yang

Series: Mathematics and Its Applications, 294

 (sign in to rate)
Loot Price R2,873 Discovery Miles 28 730 | Repayment Terms: R269 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

This monograph contains an exposition of the theory of minimal surfaces in Euclidean space, with an emphasis on complete minimal surfaces of finite total curvature. Our exposition is based upon the philosophy that the study of finite total curvature complete minimal surfaces in R3, in large measure, coincides with the study of meromorphic functions and linear series on compact Riemann sur faces. This philosophy is first indicated in the fundamental theorem of Chern and Osserman: A complete minimal surface M immersed in R3 is of finite total curvature if and only if M with its induced conformal structure is conformally equivalent to a compact Riemann surface Mg punctured at a finite set E of points and the tangential Gauss map extends to a holomorphic map Mg _ P2. Thus a finite total curvature complete minimal surface in R3 gives rise to a plane algebraic curve. Let Mg denote a fixed but otherwise arbitrary compact Riemann surface of genus g. A positive integer r is called a puncture number for Mg if Mg can be conformally immersed into R3 as a complete finite total curvature minimal surface with exactly r punctures; the set of all puncture numbers for Mg is denoted by P (M ). For example, Jorge and Meeks JM] showed, by constructing an example g for each r, that every positive integer r is a puncture number for the Riemann surface pl."

General

Imprint: Springer
Country of origin: Netherlands
Series: Mathematics and Its Applications, 294
Release date: December 2010
First published: 1994
Authors: Kichoon Yang
Dimensions: 235 x 155 x 9mm (L x W x T)
Format: Paperback
Pages: 160
Edition: Softcover reprint of hardcover 1st ed. 1994
ISBN-13: 978-90-481-4443-3
Categories: Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
Promotions
LSN: 90-481-4443-4
Barcode: 9789048144433

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Sets, Groups, and Mappings - An…
Andrew D. Hwang Hardcover R2,424 Discovery Miles 24 240
Deformation Theory of Discontinuous…
Ali Baklouti Hardcover R5,764 Discovery Miles 57 640
The Classification of the Finite Simple…
Inna Capdeboscq, Daniel Gorenstein, … Paperback R2,661 Discovery Miles 26 610
One-cocycles And Knot Invariants
Thomas Fiedler Hardcover R3,326 Discovery Miles 33 260
Algebras, Lattices, Varieties - Volume…
Ralph S Freese, Ralph N. McKenzie, … Paperback R3,238 Discovery Miles 32 380
Infinity Operads And Monoidal Categories…
Donald Yau Hardcover R4,094 Discovery Miles 40 940
Geometric Sculptures - an Exploration of…
Rocky Lau Hardcover R1,846 Discovery Miles 18 460
Associative Algebraic Geometry
Arvid Siqveland Hardcover R3,822 Discovery Miles 38 220
Algebras, Lattices, Varieties - Volume…
Ralph S Freese, Ralph N. McKenzie, … Paperback R3,244 Discovery Miles 32 440
Normal Partitions and Hierarchical…
Gennadiy Vladimirovich Zhizhin Hardcover R5,832 Discovery Miles 58 320
Representation Theory and Geometry of…
William M. McGovern Hardcover R3,986 Discovery Miles 39 860
Commutative Algebra - Expository Papers…
Irena Peeva Hardcover R5,689 Discovery Miles 56 890

See more

Partners