4 edition of **Sasakian Geometry (Oxford Mathematical Monographs)** found in the catalog.

- 137 Want to read
- 29 Currently reading

Published
**January 21, 2008**
by Oxford University Press, USA
.

Written in English

- Algebraic geometry,
- Mathematics,
- Science/Mathematics,
- Geometry - Algebraic,
- Geometry - Analytic,
- Geometry - Non-Euclidean,
- Mathematics / Geometry / Non-Euclidean,
- Geometry,
- Sasakian manifolds

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 614 |

ID Numbers | |

Open Library | OL10141287M |

ISBN 10 | 0198564953 |

ISBN 10 | 9780198564959 |

We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples. Integrability conditions for the distributions on a screen semi-invariant lightlike hypersurface of para-Sasakian manifolds are by: 5. On Sasakian-Einstein Geometry Charles P. Boyer Krzysztof Galicki An Introduction In Sasaki [Sas] introduced a type of metric-contact structure which can be thought of as the odd-dimensional version of Kahler geometry. This geometry became known as Sasakian geometry, and although it has been studied fairly extensively everAuthor: Charles P. Boyer, Krzysztof Galicki.

CONTACT MAA. Mathematical Association of America 18th Street NW Washington, D.C. Phone: () - Phone: () - Fax: () - The purpose of this handbook is to give an overview of some recent developments in differential geometry related to supersymmetric field theories. The main themes covered are: Special geometry and supersymmetry Generalized geometry Geometries with torsion Para-geometries Holonomy theory Symmetric spaces and spaces of constant curvature Conformal geometry Wave equations on .

Gregor Fels (Tübingen): Algebraic methods in CR-geometry Anna Fino (Turin): Hypo-contact and Sasakian structures on Lie groups Slides Alan Huckleberry (Bochum): Fibrations and globalizations of compact homogeneous CR-manifolds Paper. Abstract. In this paper, we study the Sasakian geometry on S 3-bundles over a Riemann surface Σ g of genus g>0 with an emphasis on extremal Sasaki metrics. We prove the existence of a countably infinite number of inequivalent contact structures on the total space of such bundles that admit 2D Sasaki cones each with a Sasaki metric of constant scalar curvature (CSC).Cited by:

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Sasakian manifolds were first introduced in This book's main focus is on the intricate relationship between Sasakian and Kähler geometries, especially when the Kähler structure is that of an algebraic variety.

The book is divided into three parts. The first five chapters carefully prepare the stage for the proper introduction of the subject. This book is an extensive monograph on Sasakian manifolds, focusing on the intricate relationship between K er and Sasakian geometries.

The subject is introduced by discussion of several background topics, including the theory of Riemannian foliations, compact complex and K er orbifolds, and the existence and obstruction theory of K er-Einstein metrics on complex compact orbifolds.

SASAKIAN GEOMETRY: THE RECENT WORK OF KRZYSZTOF GALICKI 3 The vector ﬁeld ξ deﬁnes the characteristic foliation Fξ with one-dimensional leaves, and the kernel of η deﬁnes the codimension one sub-bundle D = ker have the canonical splitting (2) TM = D⊕Lξ, where Lξ is the trivial line bundle generated by ξ.

If the 1-form satisﬁes. This book is an extensive monograph on Sasakian manifolds, focusing on the intricate relationship between K er and Sasakian geometries. The subject is introduced by discussion of several background topics, including the theory of Riemannian foliations, compact complex and K er orbifolds, and the existence and obstruction theory of K er-Einstein metrics on complex compact : Hardcover.

Get this from a library. Sasakian geometry. [Charles P Boyer; Krzysztof Galicki] -- This volume offers an extensive modern treatment of Sasakian geometry, which is of importance in many different fields in geometry and physics.

Sasakian manifolds were first introduced in This book's main focus is on the intricate relationship between Sasakian and Kähler geometries, especially when the Kähler structure is that of.

Open Library is an open, editable library catalog, building towards a web page for every book ever published. Sasakian geometry by Charles P. Boyer, Charles Boyer, Krzysztof Galicki; 2 editions; First published in ; Subjects: Sasakian manifolds, Geometry. Since then Sasakian manifolds have gained prominence in physics and algebraic geometry, mostly due to a string of papers by Charles P.

Boyer and Krzysztof Galicki and their co-authors. The Reeb vector field. The homothetic vector field on the cone over a Sasakian manifold is defined to be ∂ / ∂. 8 Symmetries and Sasakian Structures 9 Links as Sasakian Manifolds 10 Sasakian Geometry in Dimensions Three and Five 11 Sasaki-Einstein Geometry 12 Quaternionic Kähler and HyperKähler Manifolds 13 3-Sasakian Manifolds 14 Sasakian Stuctures, Killing Spinors, and Supersymmetry Appendix A Appendix B Bibliography Index.

This chapter describes Sasakian geometry in low dimensions. In dimension three there is a complete classification; dimension five is large enough to be interesting, yet small enough to hope for some partial classification. We concentrate on the simply connected case, as there we can rely on the Smale-Barden classification.

In terms of Sasakian structures, the main focus is on the case of. Don't see your book. Search by ISBN. Thanks. We hope to add your book soon. Remove ads. Upgrade to premium. UPGRADE. the Landforms & Landscapes, Sherwood D. Tuttle,Science, pages download Sasakian Geometry Charles Boyer, Krzysztof Galicki ENDURING LITERATURE ILLUMINATED BY PRACTICAL SCHOLARSHIP After making an audacious wager, the wealthy and eccentric Phileas Fogg attempts a seemingly impossible feat -- to.

Sasakian Geometry on Homotopy Spheres Recall [Bl,YK] that a Sasakian structure on a manifold M of dimension 2n + 1 is a metric contact structure (ξ,η,Φ,g) such that the. Sasakian Geometry, Oxford University Press, Oxford link and Amazon link This work was partially supported by several NSF Grants.

I am maintaining an erratum for our book, which will be periodically updated. Hopefully it will have an end.

The erratum for `Sasakian Geometry' in the. sasakian geometry, holonomy, and supersymmetry 5 (v) Transverse geometry of a n egative Sasakian manifold is c anonical in the sense that the transverse canonical bundle is ample.

In particular, in the recent years, many authors [5–9] have pointed out the importance of paracontact geometry and, in particular, of para-Sasakian geometry, by several papers giving the relationships with the theory of para-Kähler manifolds and its role in pseudo-Riemannian geometry and Cited by: 5.

Sasakian Geometry in Dimensions Three and Five Sasakian Geometry in Dimension 3 Sasakian Structures and the Topology of 5-Manifolds Sasakian Links in Dimension 5 Regular Sasakian Structures on 5-Manifolds Chapter Sasaki-Einstein Geometry Foundations of Sasaki-Einstein Geometry In differential geometry, a Sasakian manifold is a contact manifold (M, heta) equipped with a special kind of Riemannian metric g, called a "Sasakian" metric.

Definition. A Sasakian metric is defined using the construction of the "Riemannian cone". Given a Riemannian manifold (M,g), its Riemannian cone is a product: (M imes {Bbb R}^{>0}), of M with a half-line {Bbb R}^{>0},equipped with the.

Tutor in a Book's Geometry Jo Greig. out of 5 stars Paperback. $ Painless Geometry (Barron's Painless) Lynette Long Ph.D. out of 5 stars Paperback.

$ Geometry, Grades Mcdougal Littell High School Math (McDougal Littell High Geometry) Ron Larson. /5(12). Houri, H. Takeuchi, Y. Yasui, A deformation of Sasakian structure in the presence of torsion and supergravity solutions.

Classical Quantum Gravity 30 (),31 pages. MR Zbl [35] S. Ishihara, Quaternion Kählerian manifolds. Differential Geometry 9 (), – MR Zbl Crossref. Geometry.

1 - 20 of results. Grid View Grid. List View List. Add to Wishlist. Read an excerpt of this book! Quickview. The Beginner's Guide to by Michael S. Schneider. Paperback $ See All Formats. Add to Wishlist Publish your book with B&N. Learn More.in Section 3. Section 4 is all about Betti numbers of Sasakian and 3-Sasakian manifolds while Section 5 is a very brief look at the Killing spinors andG2 structures.

The following section describes the geometry of the 3-Sasakian quotient construction. After this we give a detailed study of \toric" 3-Sasakian manifolds.

We conclude with a handful of.Finally, there are some structures close to Sasakian structures (trans-Sasakian, para-Sasakian, etc.) that are increasingly being studied, in both Riemannian and semi-Riemannian geometry. The purpose of this Special Issue is to provide a collection of papers that reflect new advances in Sasakian spaces, new topics of research, and explore.