The Pseudo-Riemannian Space-Time Manifold M4

2012 ◽  
pp. 105-228
Author(s):  
Anadijiban Das ◽  
Andrew DeBenedictis
Keyword(s):  
Riemannian Space ◽  
Space Time

Classical mechanics of special relativity in a Riemannian space‐time

1991 ◽  
Vol 32 (7) ◽  
pp. 1788-1795 ◽  
Author(s):  
Daniel Zerzion ◽  
L. P. Horwitz ◽  
R. I. Arshansky
Keyword(s):  
Special Relativity ◽  
Riemannian Space ◽  
Classical Mechanics ◽  
Space Time

On the general correspondence between field theories and the theories of direct interparticle action

1968 ◽  
Vol 64 (4) ◽  
pp. 1071-1079 ◽  
Author(s):  
J. V. Narlikar
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Riemannian Space ◽  
Arbitrary Spin ◽  
Space Time ◽  
Field Theories ◽  
Classical Electrodynamics ◽  
General Correspondence ◽  
General Conditions

AbstractIt is well known that classical electrodynamics can be described both as a field theory and as a theory of direct interparticle action. In the present paper it is shown that, provided certain general conditions are satisfied, fields of arbitrary spin have their counterparts in ‘direct particle fields’. This correspondence between the two formalisms is established in the Riemannian space-time used for general relativity.

Relativistic Quantum Many-Body Theory in Riemannian Space-Time

1973 ◽  
Vol 7 (2) ◽  
pp. 296-325 ◽  
Author(s):  
Richard L. Bowers ◽  
Robert L. Zimmerman
Keyword(s):  
Riemannian Space ◽  
Relativistic Quantum ◽  
Space Time ◽  
Many Body ◽  
Many Body Theory ◽  
Body Theory

FROM QUANTUM MECHANICS TO RIEMANNIAN SPACE-TIME

1991 ◽  
pp. 219-238
Author(s):  
Jürgen Audretsch ◽  
Claus Lämmerzahl
Keyword(s):  
Quantum Mechanics ◽  
Riemannian Space ◽  
Space Time

Dynamics in Newtonian-Riemannian space-time (II)

2001 ◽  
Vol 22 (4) ◽  
pp. 425-435
Author(s):  
Zhang Rong-ye
Keyword(s):  
Riemannian Space ◽  
Space Time

scholarly journals HYDRODYNAMIC FLOW AS CONGRUENCE OF GEODESIC LINES IN RIEMANNIAN SPACE–TIME

2008 ◽  
Vol 17 (02) ◽  
pp. 337-342 ◽  
Author(s):  
L. V. VEROZUB
Keyword(s):  
Riemannian Space ◽  
Small Volume ◽  
Space Time ◽  
Hydrodynamic Flow ◽  
Geodesic Lines

It is shown that small volume elements of a perfect esentropic fluid move along geodesic lines of a Riemannian space–time.

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