On the typology of quasi-Einstein spaces

2020 ◽  
Author(s):  
V. Kiosak ◽  
A. Savchenko ◽  
S. Khniunin
Keyword(s):  
Einstein Spaces

scholarly journals Einstein spaces of class one

1937 ◽  
Vol 43 (4) ◽  
pp. 265-271
Author(s):  
C. B. Allendoerfer
Keyword(s):  
Einstein Spaces

Einstein spaces which are mapped conformally on each other

1925 ◽  
Vol 94 (1) ◽  
pp. 119-145 ◽  
Author(s):  
H. W. Brinkmann
Keyword(s):  
Einstein Spaces

scholarly journals Volume-preserving geodesic symmetries on four-dimensional Hermitian Einstein spaces

1997 ◽  
Vol 146 ◽  
pp. 13-29 ◽  
Author(s):  
J. T. Cho ◽  
K. Sekigawa ◽  
L. Vanhecke
Keyword(s):  
Einstein Space ◽  
Einstein Spaces ◽  
Volume Preserving

Abstract.We prove that a four-dimensional Hermitian Einstein space is weakly *-Einsteinian and use this result to show that all geodesic symmetries are volume-preserving (up to sign) if and only if it is local symmetric.

Curvature Bounds for the Spectrum of Closed Einstein Spaces

1978 ◽  
Vol 30 (5) ◽  
pp. 1087-1091 ◽  
Author(s):  
Udo Simon
Keyword(s):  
Lower Bound ◽  
Scalar Curvature ◽  
Sectional Curvature ◽  
Constant Scalar Curvature ◽  
Einstein Space ◽  
Curvature Bounds ◽  
Nonzero Eigenvalue ◽  
Einstein Spaces ◽  
Image Position

The following is our main result.(A) THEOREM. Let (M, g) be a closed connected Einstein space, n = dim M ≧ 2 (with constant scalar curvature R). Let K0 be the lower bound of the sectional curvature. Then either (M, g) is isometrically diffeomorphic to a sphere and the first nonzero eigenvalue ƛ1of the Laplacian fulfils

Sign in / Sign up

Export Citation Format

Share Document