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Two classes of Riemannian manifolds whose geodesic flows are integrable / [electronic resource] Kazuyoshi Kiyohara.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 619Publication details: Providence, R.I. : American Mathematical Society, c1997.Description: 1 online resource (vii, 143 p.)ISBN:
  • 9781470402082 (online)
Subject(s): Additional physical formats: Two classes of Riemannian manifolds whose geodesic flows are integrable /DDC classification:
  • 510 s 516.3/73 21
LOC classification:
  • QA3 .A57 no. 619 QA614.82
Online resources:
Contents:
Part 1. Liouville manifolds Introduction 1. Local structure of proper Liouville manifolds 2. Global structure of proper Liouville manifolds 3. Proper Liouville manifolds of rank one Appendix. Simply connected manifolds of constant curvature Part 2. Kähler-Liouville manifolds Introduction 1. Local calculus on $M^1$ 2. Summing up the local data 3. Structure of $M-M^1$ 4. Torus action and the invariant hypersurfaces 5. Properties as a toric variety 6. Bundle structure associated with a subset of $\mathcal {A}$ 7. The case where $\#\mathcal {A}=1$ 8. Existence theorem
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Total holds: 0

"November 1997, volume 130, number 619 (third of 4 numbers)."

Includes bibliographical references (p. 142-143).

Part 1. Liouville manifolds Introduction 1. Local structure of proper Liouville manifolds 2. Global structure of proper Liouville manifolds 3. Proper Liouville manifolds of rank one Appendix. Simply connected manifolds of constant curvature Part 2. Kähler-Liouville manifolds Introduction 1. Local calculus on $M^1$ 2. Summing up the local data 3. Structure of $M-M^1$ 4. Torus action and the invariant hypersurfaces 5. Properties as a toric variety 6. Bundle structure associated with a subset of $\mathcal {A}$ 7. The case where $\#\mathcal {A}=1$ 8. Existence theorem

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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