Extremals for the Sobolev Inequality and the Quaternionic Contact Yamabe Problem

Extremals for the Sobolev Inequality and the Quaternionic Contact Yamabe Problem
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DOI:
10.1142/7647
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发表时间:
2011-03
期刊:
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影响因子:
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通讯作者:
S. Ivanov;D. Vassilev
S. Ivanov;D. Vassilev
中科院分区:
其他
文献类型:
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作者:
S. Ivanov;D. Vassilev

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分析:海森堡和岩泽型卡诺群上与Sobolev不等式有关的变分问题岩泽型几何群上Yamabe方程对称解的显式解:四元数接触流形-联络、曲率和QC-爱因斯坦结构四元数接触共形曲率张量四元数接触Yamabe原点和QC球面的Yamabe常数CR流形-Cartan和Chern-Moser张量和定理。
Analysis: Variational Problems Related to Sobolev Inequalities on Carnot Groups Groups of Heisenberg and Iwasawa Types Explicit Solutions to the Yamabe Equation Symmetries Solutions on Groups of Iwasawa Type Geometry: Quaternionic Contact Manifolds - Connection, Curvature and qc-Einstein Structures Quaternionic Contact Conformal Curvature Tensor The Quaternionic Contact Yamabe Pronlem and the Yamabe Constant of the qc Spheres CR Manifolds - Cartan and Chern-Moser Tensor and Theorem.