A generalization of a 4-dimensional Einstein manifold

作者：Euh Yunhee; Park Jeong Hyeong^*; Sekigawa Kouei

来源：Mathematica Slovaca, 2013, 63(3): 595-610.

DOI：10.2478/s12175-013-0121-6

• Einstein manifold
• Singer-Thorpe basis
• Hitchin inequality

A weakly Einstein manifold is a natural generalization of a 4-dimensional Einstein manifold. In this paper, we shall give a characterization of a weakly Einstein manifold in terms of so-called generalized Singer-Thorpe bases. As an application, we prove a generalization of the Hitchin inequality for compact weakly Einstein 4-manifolds. Examples are provided to illustrate the theorems.

• 出版日期2013-6