1.

Record Nr.

UNINA9910788848603321

Autore

Matsumoto Shigenori <1947->

Titolo

Affine flows on 3-manifolds / / Shigenori Matsumoto

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2003]

©2003

ISBN

1-4704-0369-2

Descrizione fisica

1 online resource (106 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 771

Disciplina

514/.72

Soggetti

Vector fields

Foliations (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 162, number 771 (third of 5 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 93-94).

Nota di contenuto

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Complete affine flows""; ""1. Theorem of Nagano-Yagi and its application""; ""2. Nilpotent holonomy""; ""3. Periodic orbit case""; ""4. No periodic orbit case""; ""Chapter 3. Luxuriant Foliations""; ""1. Luxuriant foliations""; ""2. Horizontal flow on a leaf of F""; ""3. Minimality of the foliation F""; ""4. Nontriviality of the holonomy of F""; ""5. Topology of the flow Ï?""; ""Chapter 4. SL-flows""; ""1. SL-flows are horizontal""; ""2. Solvable case""; ""3. Fuchsian case""; ""4. The homotopy lifting property""; ""5. Dense Case""

""Chapter 5. SA-flows""""1. Preliminaries""; ""2. Affine subsurfaces""; ""3. Elliptic and parabolic periodic orbits""; ""4. The characteristic subgroup""; ""5. K is trivial;  no periodic orbits case""; ""6. K is trivial;  periodic orbits case""; ""7. Case K is nontrivial""; ""Bibliography""