Geodesics and ends in certain surfaces without conjugate points

Geodesics and ends in certain surfaces without conjugate points

Author: Patrick Eberlein

Publisher: Cambridge University Press

Published: 1968

Total Pages: 120

ISBN-13: 9780821859568

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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

Surfaces of Nonpositive Curvature

Author: Patrick Eberlein

Publisher: American Mathematical Soc.

Published: 1979

Total Pages: 102

ISBN-13: 0821822187

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This is a detailed paper concerning complete noncompact 2-dimensional Riemannian manifolds M with nonpositive Gaussian curvature.


Geometry of Nonpositively Curved Manifolds

Geometry of Nonpositively Curved Manifolds

Author: Patrick Eberlein

Publisher: University of Chicago Press

Published: 1996

Total Pages: 460

ISBN-13: 9780226181981

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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

Transactions of the American Mathematical Society

Author: American Mathematical Society

Publisher:

Published: 1919

Total Pages: 420

ISBN-13:

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Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.


The Geometry of Geodesics

The Geometry of Geodesics

Author: Herbert Busemann

Publisher: Courier Corporation

Published: 2012-07-12

Total Pages: 434

ISBN-13: 0486154629

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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.


Proceedings of the Royal Irish Academy

Proceedings of the Royal Irish Academy

Author: Royal Irish Academy

Publisher:

Published: 1985

Total Pages: 436

ISBN-13:

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Includes also Minutes of [the] Proceedings, and Report of [the] President and Council for the year (beginning 1965/66 called Annual report).