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Collected Papers of John Milnor, Volume I: Geometry

John Milnor
Publisher: 
Publish or Perish, Inc.
Publication Date: 
1994
Number of Pages: 
295
Format: 
Hardcover
Price: 
40.00
ISBN: 
0-914098-30-6
Category: 
Collection
We do not plan to review this book.

 

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