C-CONFORMAL METRIC TRANSFORMATIONS ON FINSLERIAN HYPERSURFACE | Narasimhamurthy | Journal of the Indonesian Mathematical Society 2 392 1 PB

J. Indones. Math. Soc.

Vol. 17, No. 2 (2011), pp. 57–66.

C-CONFORMAL METRIC TRANSFORMATIONS ON

FINSLERIAN HYPERSURFACE

S.K. Narasimhamurthy

1

, Pradeep Kumar

2

and C.S. Bagewadi

3

1

Department of Mathematics, Kuvempu University,

Shankaraghatta-577451, Shimoga, Karnataka, India, nmurthysk@gmail.com

2

Department of Mathematics, Kuvempu University,

Shankaraghatta-577451, Shimoga, Karnataka, India

3

Department of Mathematics, Kuvempu University,

Shankaraghatta-577451, Shimoga, Karnataka, India

Abstract. _{The purpose of the paper is to give some relation between the original}

Finslerian hypersurface and other C-conformal Finslerian hypersufaces. In this pa-per we define three types of hypa-persufaces, which were called a hypa-perplane of the 1st

kind, hyperplane of the 2nd

kind and hyperplane of the 3rd

kind under consideration of C-conformal metric transformation.

Key words: Finsler spaces, Finsler hypersurface, Conformal, C-conformal, Hyper-plane of 1st

kind, 2nd

kind and 3rd

kind.

2000 Mathematics Subject Classification: 53C60.