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On the Enumerative Geometry of Geodesics

Ivan A. K. Kupka and M. M. Peixoto

Chapter 24 in From Topology to Computation: Proceedings of the Smalefest, 1993, pp 243-253 from Springer

Abstract: Abstract The present work has its origin in a recent paper of Peixoto and Thom [7]. We begin by reformulating the Theorem of this paper (p. 639) in a way that renders its statement and proof more simple and conceptual. This is done by the use of the concept of graph of a foliation, introduced by Thom [9, p. 173] as follows: The graph of a foliated manifold F is the set of points (p, q) ∈ F ×F such that p and q are on the same leaf.

Keywords: Brillouin Zone; Canonical Projection; Complete Riemannian Manifold; Positive Definite Quadratic Form; Foliated Manifold (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2740-3_24

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DOI: 10.1007/978-1-4612-2740-3_24

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