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SOME REMARKS ON NULL GEODESIC COLLINEATIONS IN 2 -RECURRENT RIEMANNIAN MANIFOLDS

SOME REMARKS ON NULL GEODESIC COLLINEATIONS IN 2 -RECURRENT RIEMANNIAN MANIFOLDS DEMONCTRATIO MATHEMATICAVol. XVNo 21912Wieslaw GrycakSOME REMARKS ON NULL GEODESIC COLLINEATIONSIN 2 -RECURRENT RIEMANNIAN MANIFOLDS1. I n t r o d u c t i o nA n o n - f l a t n - d i m e n s i o n a l (n > 2) Riemannian manifold i ss a i d be of r e c u r r e n t c u r v a t u r e [9]] ( b r i e f l y , a r e c u r r e n t man i f o l d ) i f i t s c u r v a t u r e t e n s o r s a t i s f i e s the c o n d i t i o n(1)Rhijk,l=GRc,R,l hijkf o r some n o n - z e r o v e c t o r f i e l d o^, where the comma i n d i c a t e sc o v a r i a n t d i f f e r e n t i a t http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

SOME REMARKS ON NULL GEODESIC COLLINEATIONS IN 2 -RECURRENT RIEMANNIAN MANIFOLDS

Demonstratio Mathematica , Volume 15 (2): 6 – Apr 1, 1982

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Publisher
de Gruyter
Copyright
© by Wieslaw Grycak
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-1982-0207
Publisher site
See Article on Publisher Site

Abstract

DEMONCTRATIO MATHEMATICAVol. XVNo 21912Wieslaw GrycakSOME REMARKS ON NULL GEODESIC COLLINEATIONSIN 2 -RECURRENT RIEMANNIAN MANIFOLDS1. I n t r o d u c t i o nA n o n - f l a t n - d i m e n s i o n a l (n > 2) Riemannian manifold i ss a i d be of r e c u r r e n t c u r v a t u r e [9]] ( b r i e f l y , a r e c u r r e n t man i f o l d ) i f i t s c u r v a t u r e t e n s o r s a t i s f i e s the c o n d i t i o n(1)Rhijk,l=GRc,R,l hijkf o r some n o n - z e r o v e c t o r f i e l d o^, where the comma i n d i c a t e sc o v a r i a n t d i f f e r e n t i a t

Journal

Demonstratio Mathematicade Gruyter

Published: Apr 1, 1982

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