scholarly journals Riemannian generalized C-spaces with homogeneous geodesics

Filomat ◽  
2019 ◽  
Vol 33 (4) ◽  
pp. 1117-1124
Author(s):  
Andreas Arvanitoyeorgos ◽  
Huajun Qin ◽  
Yu Wang ◽  
Guosong Zhao
Keyword(s):  
Necessary Conditions ◽  
Homogeneous Spaces ◽  
Invariant Metric ◽  
Homogeneous Geodesics

We investigate homogeneous geodesics in a class of homogeneous spaces G/K' called generalized C-spaces. We give necessary conditions so that a G-invariant metric on G/K' is a g.o. metric.

scholarly journals Homogeneous geodesics in pseudo-Riemannian nilmanifolds

2016 ◽  
Vol 16 (2) ◽  
Author(s):  
Viviana del Barco
Keyword(s):  
Lie Groups ◽  
Lie Algebra ◽  
Orbit Space ◽  
Nilpotent Lie Groups ◽  
Invariant Metric ◽  
Natural Parameter ◽  
Geodesic Orbit Space ◽  
Affine Parameter ◽  
Homogeneous Geodesics

AbstractWe study the geodesic orbit property for nilpotent Lie groups N endowed with a pseudo-Riemannian left-invariant metric. We consider this property with respect to different groups acting by isometries. When N acts on itself by left-translations we show that it is a geodesic orbit space if and only if the metric is bi-invariant. Assuming N is 2-step nilpotent and with non-degenerate center we give algebraic conditions on the Lie algebra n of N which imply that every geodesic is the orbit of a one-parameter subgroup of N.Auto(N). In addition we present an example of an almost g.o. space such that for null homogeneous geodesics, the natural parameter of the orbit is not always the affine parameter of the geodesic.

TORSION AND SPONTANEOUS COMPACTIFICATION

1993 ◽  
Vol 08 (11) ◽  
pp. 1903-1921 ◽  
Author(s):  
O. RICHTER ◽  
G. RUDOLPH
Keyword(s):  
Homogeneous Spaces ◽  
Geometrical Interpretation ◽  
Invariant Metric ◽  
Spontaneous Compactification ◽  
Cartan Theory ◽  
Bonnet Term

Spontaneous compactification of Einstein–Cartan theory with quadratic Gauß–Bonnet term is investigated. For the homogeneous spaces SU (3)/ U (1) × U (1), Sp (2)/ SU (2) × U (1) and G2/ SU (3) we find the most general form of G-invariant metric and torsion and find solutions of spontaneous compactifying type. It turns out that these solutions admit a geometrical interpretation.

scholarly journals Two-step Homogeneous Geodesics in Homogeneous Spaces

2016 ◽  
Vol 20 (6) ◽  
pp. 1313-1333 ◽  
Author(s):  
Andreas Arvanitoyeorgos ◽  
Nikolaos Panagiotis Souris
Keyword(s):  
Homogeneous Spaces ◽  
Homogeneous Geodesics

Czech National Awareness in Moravia in the Revolutionary Years 1848/1849

2014 ◽  
Vol 6 (1) ◽  
Author(s):  
František Čapka
Keyword(s):  
Nineteenth Century ◽  
Necessary Conditions ◽  
Cultural Contact ◽  
Significant Change ◽  
Mutual Relations ◽  
High Degree

AbstractThis study focuses on the process of the gradual shaping of Czech national awareness in Moravia from the beginning of the nineteenth century onwards when the necessary conditions for the development of improved mutual relations between the Czech (Slavic) population in the two Lands of the Czech Crown -Bohemia and Moravia - were slowly being formed. Moravia faced a number of handicaps to the development of a national revival in comparison with Bohemia, the most significant of which was the relatively high degree of Germanisation of the land. A change to the image of Moravia came in the revolutionary years 1848/1849, when Czech national awareness spread to broader sections of society in Moravia. The view of Bohemia held by the Moravians underwent significant change and a period of increasingly intensive political and cultural contact between the two lands arose.

SOCIAL PROTECTION IS A GUARANTEE OF FAMILY UNITY

2020 ◽  
Vol 7 (3) ◽  
pp. 89-96
Author(s):  
Dilbar Karshieva ◽  
Keyword(s):  
Social Protection ◽  
Necessary Conditions ◽  
Family Members ◽  
The State ◽  
The Military ◽  
Family Unity

This article demonstrates the great attention and care paid by the state to the military and their families in our country.Social protection of families of military men consists in creating necessary conditions for family members to develop and demonstrate their abilities in socio-economic, cultural, medical and other spheres.

Sign in / Sign up

Export Citation Format

Share Document