Manifolds all of whose Geodesics are Closed

By A. Besse. 2011

549 citations recorded by the source corpus.

Subfields: Computational Mechanics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a5ed41a2d64a4b833a7e24524e39e8e2c8dd538a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Iosif Polterovich
2. David A. Sher
3. Jean-Marc Delort

In Geometry and Topology

1. Iosif Polterovich
2. David A. Sher
3. Jean-Marc Delort

Citations in the corpus

• Injections de Sobolev probabilistes et applications (2011, unknown): “Choisissons pour j ∈ N des φj tels que ∑ j φ 2 j (2 −js) = 1, φ0 à support dans [0, 3], φj à support dans [1, 5], la famille des φj étant uniformément C∞.”
• Geometric Analysis: Preface (2012, unknown): “(Berger-Kazdan [Bs]) Let At(s) be a (n×n)-matrix valued function defined on [0, π].”
• Heat Invariants of the Steklov Problem (2013, background): “40) in [Be] to conclude that all the closed geodesics must have a common period, and therefore that (Y, g) is Zoll.”
• SPECTRAL GEOMETRY OF THE STEKLOV PROBLEM (2014, unknown): “Then one deduces that M is a Zoll surface (that is, all geodesics on M are periodic with a common period), and hence it is simply–connected [11].”
• Growth of Sobolev Norms of Solutions of Linear Schrödinger Equations on Some Compact Manifolds (2009, background): “The sphere is such a manifold, and we refer to the book of Besse [2] for other examples.”