Quaternionic contact Einstein structures and the quaternionic contact yamabe problems / Stefan Ivanov, Ivan Minchev and Dimiter Vassilev.

By:

Ivanov, Stefan

Contributor(s):

Material type: Text

TextSeries: Memoirs of the American Mathematical Society ; v 231, no 1086.Publication details: Providence : American Mathematical Society, c2014.Description: v, 82 p. ; 26 cmISBN:

9780821898437 (pbk. : acidfree paper)

Subject(s):

DDC classification:

510 23 Am512

Contents:

1. Introduction-- 2. Quaternionic contact structures and the Biquard connection -- 3. The torsion and curvature of the Biquard connection -- 4. QC-Einstein quaternionic contact structures -- 5. Conformal transformations of a qc-structure -- 6. Special functions and pseudo-Einstein quaternionic contact structures -- 7. Infinitesimal Automorphisms -- 8. Quaternionic contact Yamabe problem-- Bibliography-- Index.

Summary: A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given. It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian manifolds.

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Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	ISI Library, Kolkata	510 Am512 (Browse shelf(Opens below))	Available		135877

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"Volume 231, number 1086 (third of 5 numbers), September 2014."

Includes bibliographical references (pages 77-79) and index.

1. Introduction--
2. Quaternionic contact structures and the Biquard connection --
3. The torsion and curvature of the Biquard connection --
4. QC-Einstein quaternionic contact structures --
5. Conformal transformations of a qc-structure --
6. Special functions and pseudo-Einstein quaternionic contact structures --
7. Infinitesimal Automorphisms --
8. Quaternionic contact Yamabe problem--
Bibliography--
Index.

A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given. It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian manifolds.

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