Geometric realizations of curvature models by manifolds with constant scalar curvature |
| |
| Authors: | M. Brozos-V zquez, P. Gilkey, H. Kang, S. Nik
evi&#x ,G. Weingart |
| |
| Affiliation: | aDepartment of Mathematics, University of A Coruna, Spain;bMathematics Department, University of Oregon, Eugene, OR 97403, USA;cSchool of Mathematics, University of Birmingham, Birmingham B15 2TT, UK;dMathematical Institute, Sanu, Knez Mihailova 35, p.p. 367, 11001 Belgrade, Serbia;eInstituto de Matemáticas (Cuernavaca), Universidad Nacional Autónoma de México, Mexico |
| |
| Abstract: | We show any pseudo-Riemannian curvature model can be geometrically realized by a manifold with constant scalar curvature. We also show that any pseudo-Hermitian curvature model, para-Hermitian curvature model, hyper-pseudo-Hermitian curvature model, or hyper-para-Hermitian curvature model can be realized by a manifold with constant scalar and  -scalar curvature. |
| |
| Keywords: | Constant scalar curvature Constant ![]("</a) http://www.sciencedirect.com/scidirimg/entities/22c6.gif" alt=" small star, filled" title=" small star, filled" border=" 0" >-scalar curvature Geometric realization Hyper-para-Hermitian Hyper-pseudo-Hermitian Para-Hermitian Pseudo-Hermitian Pseudo-Riemannian |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
