{'fraction_non_alphanumeric': 0.04291287386215865, 'fraction_numerical': 0.006501950585175552, 'mean_word_length': 4.347222222222222, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
MOTION WITH CONTRA FIELD IN FINSLER SPACES

Abstract An affine motion of special type was developed in non-Riemannian K*-spaces by Takano [5]. He called such a motion an affine motion with contra field. The same concept was extended to Finsler spaces by Misra and Meher [1]. Later, the same authors [2] studied CA-motion in a projective symmetric Finsler space. An affine motion satisfying the condition υi (j) = ρδi j, where ρ(x, x) is a non-zero scalar function, is called affine motion with contra field or briefly CA-motion. Recently the present author [4] has discussed projective motion in Finsler space F n. The purpose of this paper is to study affine and projective motions with contra field in Finsler spaces. The notations of Rund [3] are used in the sequel.