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Geodesics and Ends in Certain Surfaces without Conjugate Points
Author: Patrick Eberlein
Publisher: American Mathematical Soc.
Published: 1978
Total Pages: 117
ISBN-13: 0821821997
DOWNLOAD EBOOK →In this paper we study the geodesics and ends of compact surfaces satisfying the "uniform visibility" axiom. We are primarily though not exclusively interested in finitely connected surfaces, which topologically are compact Riemann surfaces with a finite number of punctures.
Surfaces of Nonpositive Curvature
Author: Patrick Eberlein
Publisher: American Mathematical Soc.
Published: 1979
Total Pages: 90
ISBN-13: 0821822187
DOWNLOAD EBOOK →Geometry of Nonpositively Curved Manifolds
Author: Patrick Eberlein
Publisher: University of Chicago Press
Published: 1996
Total Pages: 460
ISBN-13: 9780226181981
DOWNLOAD EBOOK →Starting from the foundations, the author presents an almost entirely self-contained treatment of differentiable spaces of nonpositive curvature, focusing on the symmetric spaces in which every geodesic lies in a flat Euclidean space of dimension at least two. The book builds to a discussion of the Mostow Rigidity Theorem and its generalizations, and concludes by exploring the relationship in nonpositively curved spaces between geometric and algebraic properties of the fundamental group. This introduction to the geometry of symmetric spaces of non-compact type will serve as an excellent guide for graduate students new to the material, and will also be a useful reference text for mathematicians already familiar with the subject.
Transactions of the American Mathematical Society
The Geometry of Geodesics
Author: Herbert Busemann
Publisher: Courier Corporation
Published: 2012-07-12
Total Pages: 434
ISBN-13: 0486154629
DOWNLOAD EBOOK →A comprehensive approach to qualitative problems in intrinsic differential geometry, this text examines Desarguesian spaces, perpendiculars and parallels, covering spaces, the influence of the sign of the curvature on geodesics, more. 1955 edition. Includes 66 figures.
Reviews in Global Analysis, 1980-86 as Printed in Mathematical Reviews
Osaka Journal of Mathematics
Proceedings of the Royal Irish Academy
Proceedings of the Royal Irish Academy
Author: Royal Irish Academy
Publisher:
Published: 1985
Total Pages: 436
ISBN-13:
DOWNLOAD EBOOK →Includes also Minutes of [the] Proceedings, and Report of [the] President and Council for the year (beginning 1965/66 called Annual report).
