Surveys in Mathematics and its Applications


ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 14 (2019), 141 -- 147

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ON FINSLER SPACES WITH UNIFIED MAIN SCALAR L2C=β

Brijesh Kumar Tripathi and Pradeep Kumar

Abstract. The purpose of present paper is to study the T-tensor of such a Finsler space with the condition L2(α,β)C=β, where α=sqrt(aij(x)yiyj) and β=biyi and get some important theorems. We shall also obtain the condition for such a Finsler space to be a Landsberg space or Berwald space. The notations and terminologies are referred to the monograph [7].

2010 Mathematics Subject Classification: 53C60;53B40.
Keywords: Finsler space; T-tensor; unified scalar; L2C=β.

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Brijesh Kumar Tripathi
Department of Mathematics, L.D. College of Engineering Ahmedabad,
Navrangpura, Ahmedabad, Gujarat, 380015, India.
E-mail: brijeshkumartripathi4@gmail.com, drbrijeshtripathi@ldce.ac.in

Pradeep Kumar
Department of Mathematics, Digvijaynath P.G. College Gorakhpur,
Uttar Pradesh, 273001, India.
E-mail: pradeepshuklamath@gmail.com

http://www.utgjiu.ro/math/sma