Ambient constructions for Sasakian η-Einstein manifolds
Ambient constructions for Sasakian η-Einstein manifolds
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Sasakian η-爱因斯坦流形的环境结构
DOI：
10.1016/j.aim.2018.01.007
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发表时间：
2018
影响因子：
1.7
通讯作者：
Takeuchi Yuya
中科院分区：
文献类型：
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作者：
J. Aochi;T. Mabuchi;and T. Tokumasu;萩生翔大;萩生翔大，神崎素樹;Takuya Mabuchi;馬渕拓哉;大野松彦;大野松彦;大野松彦;大野松彦;大野松彦;大野松彦;大野松彦;大野松彦;田辺幹之助［編］ 橋村直樹／吉澤早苗／大野松彦／髙木真喜子／小池寿子／岩谷秋美／薩摩雅登／元木幸一／荒木成子／鈴木伸子／水野千依／江藤匠／保井亜弓／平川佳世／青山愛香;大野松彦;大野松彦;海上貴彦;海上貴彦;海上貴彦;海上貴彦;海上貴彦;海上貴彦;海上貴彦;Takeuchi Yuya;Takeuchi Yuya
环境空间的理论对于定义CR不变对象是有用的，例如次拉普拉斯算子的CR不变幂、P-素算子和Q-素曲率。然而，一般来说，很难根据Tanaka-Webster连接来写下这些对象。本文给出了满足Einstein条件的CR流形（称为Sasakianη-Einstein流形）的显式公式。作为应用，我们研究了Sasakianη-Einstein流形上全Q-素曲率的第一变分和第二变分的性质.
The theory of ambient spaces is useful to define CR invariant objects, such as CR invariant powers of the sub-Laplacian, theP-prime operator, andQ-prime curvature. However in general, it is difficult to write down these objects in terms of the Tanaka–Webster connection. In this paper, we give those explicit formulas for CR manifolds satisfying an Einstein condition, called Sasakianη-Einstein manifolds. As an application, we study properties of the first and the second variation of the totalQ-prime curvature at Sasakianη-Einstein manifolds.