The Resource Riemannian Geometry of Contact and Symplectic Manifolds, by David E. Blair, (electronic resource)

Riemannian Geometry of Contact and Symplectic Manifolds, by David E. Blair, (electronic resource)

Label
Riemannian Geometry of Contact and Symplectic Manifolds
Title
Riemannian Geometry of Contact and Symplectic Manifolds
Statement of responsibility
by David E. Blair
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This second edition, divided into fourteen chapters, presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view. The monograph examines the basic ideas in detail and provides many illustrative examples for the reader. Riemannian Geometry of Contact and Symplectic Manifolds, Second Edition provides new material in most chapters, but a particular emphasis remains on contact manifolds. New principal topics include a complex geodesic flow and the accompanying geometry of the projectivized holomorphic tangent bundle and a complex version of the special directions discussed in Chapter 11 for the real case. Both of these topics make use of Étienne Ghys's attractive notion of a holomorphic Anosov flow. Researchers, mathematicians, and graduate students in contact and symplectic manifold theory and in Riemannian geometry will benefit from this work. A basic course in Riemannian geometry is a prerequisite. Reviews from the First Edition: "The book . . . can be used either as an introduction to the subject or as a reference for students and researchers . . . [it] gives a clear and complete account of the main ideas . . . and studies a vast amount of related subjects such as integral sub-manifolds, symplectic structure of tangent bundles, curvature of contact metric manifolds and curvature functionals on spaces of associated metrics." —Mathematical Reviews "...this is a pleasant and useful book and all geometers will profit [from] reading it. They can use it for advanced courses, for thesis topics as well as for references. Beginners will find in it an attractive [table of] contents and useful ideas for pursuing their studies." —Memoriile Sectiilor Stiintifice
Member of
http://library.link/vocab/creatorName
Blair, David E
Dewey number
516.373
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
_nOYIzD1Iy8
Language note
English
LC call number
QA641-670
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Progress in Mathematics,
http://library.link/vocab/subjectName
  • Global differential geometry
  • Cell aggregation
  • Geometry, algebraic
  • Differential Geometry
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Algebraic Geometry
Label
Riemannian Geometry of Contact and Symplectic Manifolds, by David E. Blair, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [303]-343) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Symplectic Manifolds -- Principal S 1-bundles -- Contact Manifolds -- Associated Metrics -- Integral Submanifolds and Contact Transformations -- Sasakian and Cosymplectic Manifolds -- Curvature of Contact Metric Manifolds -- Submanifolds of Kähler and Sasakian Manifolds -- Tangent Bundles and Tangent Sphere Bundles -- Curvature Functionals on Spaces of Associated Metrics -- Negative ?–sectional Curvature -- Complex Contact Manifolds -- Additional Topics in Complex Geometry -- 3-Sasakian Manifolds -- Erratum
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (348 p.)
Form of item
online
Isbn
9780817649593
Media category
computer
Media type code
c
Other control number
10.1007/978-0-8176-4959-3
Specific material designation
remote
System control number
  • (CKB)2670000000036571
  • (EBL)602939
  • (OCoLC)667701943
  • (SSID)ssj0000450250
  • (PQKBManifestationID)11289675
  • (PQKBTitleCode)TC0000450250
  • (PQKBWorkID)10443714
  • (PQKB)10588483
  • (DE-He213)978-0-8176-4959-3
  • (MiAaPQ)EBC602939
  • (EXLCZ)992670000000036571
Label
Riemannian Geometry of Contact and Symplectic Manifolds, by David E. Blair, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [303]-343) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Symplectic Manifolds -- Principal S 1-bundles -- Contact Manifolds -- Associated Metrics -- Integral Submanifolds and Contact Transformations -- Sasakian and Cosymplectic Manifolds -- Curvature of Contact Metric Manifolds -- Submanifolds of Kähler and Sasakian Manifolds -- Tangent Bundles and Tangent Sphere Bundles -- Curvature Functionals on Spaces of Associated Metrics -- Negative ?–sectional Curvature -- Complex Contact Manifolds -- Additional Topics in Complex Geometry -- 3-Sasakian Manifolds -- Erratum
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (348 p.)
Form of item
online
Isbn
9780817649593
Media category
computer
Media type code
c
Other control number
10.1007/978-0-8176-4959-3
Specific material designation
remote
System control number
  • (CKB)2670000000036571
  • (EBL)602939
  • (OCoLC)667701943
  • (SSID)ssj0000450250
  • (PQKBManifestationID)11289675
  • (PQKBTitleCode)TC0000450250
  • (PQKBWorkID)10443714
  • (PQKB)10588483
  • (DE-He213)978-0-8176-4959-3
  • (MiAaPQ)EBC602939
  • (EXLCZ)992670000000036571

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