Quaternionic contact : Einstein structures and the quaternionic contact Yamabe problem
著者
書誌事項
Quaternionic contact : Einstein structures and the quaternionic contact Yamabe problem
（Memoirs of the American Mathematical Society, no. 1086）
American Mathematical Society, c2014
大学図書館所蔵 件 / 全11件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"September 2014, volume 231, number 1086 (third of 5 numbers)."
Includes bibliographical references (p. 77-79) and index
内容説明・目次
内容説明
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. All conformal transformations sending the standard flat torsion-free quaternionic contact structure on the quaternionic Heisenberg group to a quaternionic contact structure with vanishing torsion of the Biquard connection are explicitly described. A ``3-Hamiltonian form'' of infinitesimal conformal automorphisms of quaternionic contact structures is presented.
目次
Introduction Quaternionic contact structures and the Biquard connection The torsion and curvature of the Biquard connection QC-Einstein quaternionic contact structures Conformal transformations of a qc-structure Special functions and pseudo-Einstein quaternionic contact structures Infinitesimal Automorphisms Quaternionic contact Yamabe problem Biibliography Index
「Nielsen BookData」 より