A generalization of a $4$-dimensional Einstein manifold

In: Mathematica Slovaca, vol. 63, no. 3

Yunhee Euh - Jeong Hyeong Park - Kouei Sekigawa

Detaily:

Rok, strany: 2013, 595 - 610

Kľúčové slová:

Einstein manifold, Singer-Thorpe basis, Hitchin inequality

DOI: https://doi.org/10.2478/s12175-013-0121-6

O článku:

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.

Ako citovať:

ISO 690:

Euh, Y., Park, J., Sekigawa, K. 2013. A generalization of a $4$-dimensional Einstein manifold. In Mathematica Slovaca, vol. 63, no.3, pp. 595-610. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0121-6

APA:

Euh, Y., Park, J., Sekigawa, K. (2013). A generalization of a $4$-dimensional Einstein manifold. Mathematica Slovaca, 63(3), 595-610. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0121-6

O vydaní: