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Collected Papers of John Milnor, Volume I: Geometry

Publisher: 
Publish or Perish, Inc.
Number of Pages: 
295
Price: 
40.00
ISBN: 
0-914098-30-6
Date Received: 
Monday, March 27, 2006
Reviewable: 
Include In BLL Rating: 
Reviewer Email Address: 
John Milnor
Publication Date: 
1994
Format: 
Hardcover
Category: 
Collection

 

Differential Geometry and Curvature

 On the total curvature of knots
*On a relationship between the Betti numbers of a hypersurface and an integral of its Gaussian curvature
 On total curvatures of closed space curves
 On the existence of a connection with curvature zero
 Eigenvalues of the Laplace operator on certain manifolds
 A note on curvature and fundamental group
 Problems in differential geometry
 Curvatures of left invariant metrics on Lie groups
 On deciding whether a surface is parabolic or hyperbolic
 On fundamental groups of complete affinely flat manifolds

Algebraic Geometry and Topology

 On the Betti numbers of real varieties
 Isolated singularties defined by weighted homogeneous polynomials (with P. Orlik)
 Isolated critical points of complex functions

Euclidean and non-Euclidean Geometry

 A problem in cartography
 Hilbert's problem 18: on crystallographic groups, fundamental domains, and on sphere packing
*How to compute volume in hyperbolic space
*Euler characteristic and finitely additive Steiner measures
 Analytic proofs of the "Hair Ball Theorem" and the Brouwer Fixed Point Theorem
 Hyperbolic geometry: the first 150 years
 On the geometry of the Kepler problem
*The Schläfli differential equality

 

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Wednesday, June 20, 2007

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