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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)
Resource Information
The item Riemannian Geometry of Contact and Symplectic Manifolds, by David E. Blair, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Riemannian Geometry of Contact and Symplectic Manifolds, by David E. Blair, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
- 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
- Language
-
- eng
- eng
- Edition
- 2nd ed.
- Extent
- 1 online resource (348 p.)
- Note
- Description based upon print version of record
- 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
- Isbn
- 9780817649593
- Label
- Riemannian Geometry of Contact and Symplectic Manifolds
- Title
- Riemannian Geometry of Contact and Symplectic Manifolds
- Statement of responsibility
- by David E. Blair
- 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
- 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)
- 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)
- 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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Albert D. Cohen Management LibraryBorrow it181 Freedman Crescent, Winnipeg, MB, R3T 5V4, CA49.807878 -97.129961
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Archives and Special CollectionsBorrow it25 Chancellors Circle (Elizabeth Dafoe Library), Room 330, Winnipeg, MB, R3T 2N2, CA49.809961 -97.131878
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/Riemannian-Geometry-of-Contact-and-Symplectic/Ny8AAmxy4Hs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/Riemannian-Geometry-of-Contact-and-Symplectic/Ny8AAmxy4Hs/">Riemannian Geometry of Contact and Symplectic Manifolds, by David E. Blair, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>
