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Special c.oncircular projective curvature collineation in recurrent Finsler space

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2001
Author Name
Abstract (2. Language): 
A concircular transformation in Riemannian spaces was introduced and studied in series of papers by K. Yano [l]01. M . Okumura [4] has developed a similar transformation in non- Riemannian symmetric spaces. Affine motion in recurrent Finsler space was discussed by R.S, Sinha [7]. Present author [9,10] has studied curvature collineation in Finsler spaces. The purpose of present paper is to develop/ special concircular projective curvature collineation in recurrent Finsler space .
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  • English

REFERENCES

References: 

[1] YANO, K : Concircular geometry I, II, III, IV, V, Proc. Imp. Acad. Tokyo. 16(1940), pp 195-200, 354-360, 442-448, 505-511, 18 (1942) pp 446-451.
[2]
YANO
, K : Theoiy of Lie derivative and its applications, North Holland (1955).
¡ 3] RUND,
H : The Differential Geometry of Finsler spaces, Springer-Verlag (1959).
99
S.P. Singh
[4]
OKUMURA
, M ; Concircular affine motion in non-Riemanian
symmetric spaces, Tensor N.S. 12 (1962) pp 17-23. [5] OKUMURA, M : On some types of connected spaces with concircular
vector fields, Tensor N.S., 12 (1962) pp 33-46. [6] MOOR, A : Untersuchungen u ber Finsler-rau me Von rekurrenter
Kru mmung, Tensor N.S., 13 (1963) pp 1-18. [7] SINHA R, S. ; Affine motion in recurrent Finsler spaces, Tensor N.S.,
20(1969)
p
p 261 -264. [8] SINHA, B.B and SINGH, S.P : On recurrent Finsler spaces, Roum.
Math. Pures
Appl.
, 16 (1971) pp 977-986. [9] SINGH, S.P. : On curvature collineation in Finsler spaces, Publ. de 1'
Inst. Math Yugoslavia, 36 (1984) pp 85-89. [10] SINGH, S.P. : On the curvature collineation in Finsler spaces II, Tensor
N.S.
4
4 (1987) pp 113-117

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