‎On projectively PR-flat Douglas sprays

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Jalili S.; Rezaei B.; Gabrani M.

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Journal Paper

Paper Information

Journal: JOURNAL OF FINSLER GEOMETRY AND ITS APPLICATIONS Year:2025 | Volume:6 | Issue:1 Page(s): 65-75

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Information Journal Paper

Title

‎On projectively PR-flat Douglas sprays

Author(s)

Jalili S. | Rezaei B. | Gabrani M. | Issue Writer Certificate

Keywords

Sprays

projective Riemann curvature

Douglas ‎curvature

Abstract

Deformation of every spray into a projective spray can be done using a volume form on a manifold. The Riemann curvature of a projective spray is called the projective Riemmann curvature. In this paper, we present a global rigidity result for projectively PR-flat sprays that have vanishing Douglas curvature. Then we study and characterize projectively PR-flat Randers metrics of Douglas curvature‎.

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