A study of nonholonomic Finsler frame on gauge transformations

Authors

  • K. Chandru Kuvempu University, India
  • S.K. Narasimhamurthy Kuvempu University, India
  • M. Ramesha Kuvempu University, India

Keywords:

Finsler space, (∝, β)-metric, Nonholonomic frames, Gauge transformation, Randers metric

Abstract

The notion of a nonholonomic Finsler frame on space-time was introduced by P. R. Holland in 1982 when he studied electromagnetism. Then R. G. Beil studied gauge transformation viewed as a nonholonomic frame on the tangent bundle of a four-dimensional manifold. In this paper, we are determined the nonholonomic Finsler frame for Finsler space with special (∝, β)-metric L = (∝ + β + β2/∝ + β3/∝2 )2 and we discussed that Finsler nonholonomic frames act as a gauge transformation of Finsler metric tensors.

Author Biographies

K. Chandru, Kuvempu University, India

Department of Mathematics, Shankaraghatta, Shivamogga

S.K. Narasimhamurthy, Kuvempu University, India

Department of Mathematics, Shankaraghatta, Shivamogga

M. Ramesha, Kuvempu University, India

Department of Mathematics, Shankaraghatta, Shivamogga

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Published

2016-04-07

Issue

Vol. 9(58) No. 1 (2016)

Section

MATHEMATICS