scholarly journals Integral Formulas for Higher Order Conformally Invariant Fermionic Operators

2019 ◽  
Vol 29 (2) ◽  
Author(s):  
Chao Ding
Keyword(s):  
Higher Order ◽  
Conformally Invariant ◽  
Integral Formulas ◽  
Fermionic Operators

scholarly journals New modified mimetic gravity

2014 ◽  
Vol 11 (10) ◽  
pp. 1450091 ◽  
Author(s):  
Davood Momeni ◽  
Aziza Altaibayeva ◽  
Ratbay Myrzakulov
Keyword(s):  
General Relativity ◽  
Scalar Field ◽  
Cosmological Solution ◽  
Higher Order ◽  
Energy Conditions ◽  
Homogeneous Case ◽  
Expansion Parameter ◽  
Conformally Invariant ◽  
Different Levels ◽  
Mimetic Gravity

A modified Mimetic gravity (MMG) is proposed as a generalization of general relativity. The model contains a physical metric which is the function of an auxiliary (unphysical) metric and a Lyra's metric. We construct different kinds of conformally invariant models in different levels of the expansion parameter λ. This model phenomenologically has been extended to higher-order forms. Cosmology of a certain class of such models has been investigated in detail. A cosmological solution has been proposed in inhomogeneous form of scalar field. For homogeneous case, energy conditions are widely investigated. We have shown that the system evaluated at intervals shorter than a certain time Tc meets all the energy conditions.

scholarly journals Compact space-like hypersurfaces in de Sitter space

2005 ◽  
Vol 2005 (13) ◽  
pp. 2053-2069 ◽  
Author(s):  
Jinchi Lv
Keyword(s):  
Compact Space ◽  
Mean Curvature ◽  
De Sitter Space ◽  
Higher Order ◽  
De Sitter ◽  
Totally Umbilical ◽  
Higher Order Mean Curvatures ◽  
Integral Formulas

We present some integral formulas for compact space-like hypersurfaces in de Sitter space and some equivalent characterizations for totally umbilical compact space-like hypersurfaces in de Sitter space in terms of mean curvature and higher-order mean curvatures.

Sign in / Sign up

Export Citation Format

Share Document