The Resource Gromov's compactness theorem for pseudo-holomorphic curves, Christoph Hummel

Gromov's compactness theorem for pseudo-holomorphic curves, Christoph Hummel

Label
Gromov's compactness theorem for pseudo-holomorphic curves
Title
Gromov's compactness theorem for pseudo-holomorphic curves
Statement of responsibility
Christoph Hummel
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1968-
http://library.link/vocab/creatorName
Hummel, Christoph
Illustrations
illustrations
Index
index present
LC call number
QA333
LC item number
.H85 1997
Literary form
non fiction
Nature of contents
bibliography
Series statement
Progress in mathematics
Series volume
v. 151
http://library.link/vocab/subjectName
  • Riemann surfaces
  • Holomorphic mappings
  • Holomorphic mappings
  • Riemann surfaces
  • Riemann, Surfaces de
  • Applications holomorphes
  • Kompaktheit
  • Pseudoholomorphe Funktion
  • Riemannscher Raum
  • Symplektische Mannigfaltigkeit
Label
Gromov's compactness theorem for pseudo-holomorphic curves, Christoph Hummel
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [125]-127) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. I. Preliminaries. 1. Riemannian manifolds. 2. Almost complex and symplectic manifolds. 3. J-holomorphic maps. 4. Riemann surfaces and hyperbolic geometry. 5. Annuli -- Ch. II. Estimates for area and first derivatives. 1. Gromov's Schwarz- and monotonicity lemma. 2. Area of J-holomorphic maps. 3. Isoperimetric inequalities for J-holomorphic maps. 4. Proof of the Gromov-Schwarz lemma -- Ch. III. Higher order derivatives. 1. I-jets of J-holomorphic maps. 2. Removal of singularities. 3. Converging sequences of J-holomorphic maps. 4. Variable almost complex structures -- Ch. IV. Hyperbolic surfaces. 1. Hexagons. 2. Building hyperbolic surfaces from pairs of pants. 3. Pairs of pants decomposition. 4. Thick-thin decomposition. 5. Compactness properties of hyperbolic structures -- Ch. V. The compactness theorem. 1. Cusp curves. 2. Proof of the compactness theorem. 3. Bubbles -- Ch. VI. The squeezing theorem. 1. Discussion of the statement
Dimensions
24 cm.
Extent
viii, 131 pages
Isbn
9780817657352
Isbn Type
(Boston : acid-free paper)
Lccn
97011972
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)36767926
  • (OCoLC)ocm36767926
Label
Gromov's compactness theorem for pseudo-holomorphic curves, Christoph Hummel
Publication
Bibliography note
Includes bibliographical references (p. [125]-127) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. I. Preliminaries. 1. Riemannian manifolds. 2. Almost complex and symplectic manifolds. 3. J-holomorphic maps. 4. Riemann surfaces and hyperbolic geometry. 5. Annuli -- Ch. II. Estimates for area and first derivatives. 1. Gromov's Schwarz- and monotonicity lemma. 2. Area of J-holomorphic maps. 3. Isoperimetric inequalities for J-holomorphic maps. 4. Proof of the Gromov-Schwarz lemma -- Ch. III. Higher order derivatives. 1. I-jets of J-holomorphic maps. 2. Removal of singularities. 3. Converging sequences of J-holomorphic maps. 4. Variable almost complex structures -- Ch. IV. Hyperbolic surfaces. 1. Hexagons. 2. Building hyperbolic surfaces from pairs of pants. 3. Pairs of pants decomposition. 4. Thick-thin decomposition. 5. Compactness properties of hyperbolic structures -- Ch. V. The compactness theorem. 1. Cusp curves. 2. Proof of the compactness theorem. 3. Bubbles -- Ch. VI. The squeezing theorem. 1. Discussion of the statement
Dimensions
24 cm.
Extent
viii, 131 pages
Isbn
9780817657352
Isbn Type
(Boston : acid-free paper)
Lccn
97011972
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)36767926
  • (OCoLC)ocm36767926

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