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(1975)
Recurrent properties of projectively related spaces, Tensor
Fujimura Shigeyoshi (1972)
On Riemannian Manifolds Satisfying the Condition R(X Y)R=OHokkaido Mathematical Journal, 22
DEMONSTRATIO MATHEMATICAVol xvNo 4tmAdam AdamówON REDUCED ALMOST GEODESIC MAPPINGSIN RIEMANNIAN SPACES1. I n t r o d u c t i o nGeneralizing the celebrated Beltrami theorem, Sinjukov [7]proved the following theorem.T h e o r e mA.I f a Hiemannian space V^ ( n > 2 )admits a n o n - t r i v i a l geodesic mapping onto a l o c a l l y symmet r i c V„, then both V_ and V„ are of constant curvatun'nnre.Hiemannian spaces admitting geodesic mappings have beenstudied by many authors ( [l]|, [ 3 ] , [ 5 ] , [ é ] , [ i o ] ) .As a g e n e r a l i z a t i o n of the concept of a geodesic mapping,i t seems to be i n t e r e s t i n g to i n v e s t i g a t e the so-called a l most geodesic mappings. According to Sinjukov [ 8 ] , the R i e mannian space (V n ,g)said to admit an almost geodesicmapping of type 3rg onto (V n ,g), i
Demonstratio Mathematica – de Gruyter
Published: Oct 1, 1982
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