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On equidistant pseudo-riemannian spaces (in Ukrainian) |
| Author |
V. A. Kiosak
buenasdiaz@gmail.com
Zaporizhzhya National University
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| Abstract |
Paper treats special pseudo-Riemannian spaces | equidistant manifolds. Author found
tensor characteristic necessary and sufficient condition for a space to admit exactly n - 2
equidistant vector field.
Research was carried out locally, in a tensor form, without any limitation of signature of
studied spaces. |
| Keywords |
pseudo-riemannian space; tensor characteristic |
| Reference |
1. Синюков Н.С. Геодезические
ототбражения римановых пространств. - М.: Наука, 1979. - 256с.
2. Yano K. Differential geometry on.complex and almost complex spaces. – Oxford: Pergamon press, 1965.
– 326p.
3. Vries H.L. Uber riemannsche Raume die infinitesimale konforme Transformationen gestatten// Math.
Zeitschr. – 1954. – V.60, №3. – P. 328–347.
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| Pages |
21-25 |
| Volume |
36 |
| Issue |
1 |
| Year |
2011 |
Journal |
Matematychni Studii |
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