{'fraction_non_alphanumeric': 0.03686635944700461, 'fraction_numerical': 0.010368663594470046, 'mean_word_length': 4.642857142857143, '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}}
NONHOLONOMIC FRAMES FOR FINSLER SPACE WITH SPECIAL ( )-METRICS

In 1982, P.R. Holland ([1][2]), studies a unified formalism that uses a nonholonomic frame on spacetime arising from consideration of a charged particle moving in an external electromagnetic field. In fact, R.S. Ingarden [3] was first to point out that the Lorentz force law can be written in this case as geodesic equation on a Finsler space called Randers space. The author Beil R.G. ([5][6]), have studied a gauge transformation viewed as a nonholonomic frame on the tangent bundle of a four dimensional base manifold. The geometry that follows from these considerations gives a unified approach to gravitation and gauge symmetries. The above authors used the common Finsler idea to study the existence of a nonholonomic frame on the vertical subbundle V TM of the tangent bundle of a base manifold M.