دانلود کتاب Quaternionic contact : Einstein structures and the quaternionic contact yamabe problems

Name: Quaternionic contact : Einstein structures and the quaternionic contact yamabe problems
Availability: InStock
Author: Ivanov
ISBN: 9780821898437, 0821898434

by Ivanov, Stefan P.

عنوان فارسی: تماس Quaternionic: سازه های اینشتین و مشکلات yamabe تماس quaternionic
ناشر: American Mathematical Society
سال: 2014
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 82
شابک: 9780821898437, 0821898434
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 0.64 مگابایت

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جزییات کتاب

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