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FACULTY

Dr. Vasantha D M Associate Professor

School of Applied Sciences

Dr. Vasantha D M

Specialization

Differential Geometry/Finsler Geometry

Qualification

Ph.D., 2013, Kuvempu University, M.Sc., 2003, Kuvempu University

Teaching Experience

15 years

Publications In Refereed Journals

  • Narasimhamurthy S.K. and Vasantha D.M., Projective change between two Finsler spaces with (α,β)-metric, Kyungpook Math. J, 52(1) 2012, 81-89.
  • Narasimhamurthy S.K. and Vasantha D.M., Projective change between Randers metric and special (α,β)-metric, Journal of informatics and Mathematical Sciences, 4(3) (2012), 293-303.
  • Narasimhamurthy S.K., Vasantha D.M. and Ajith, Conformal change of Douglas space with special (α,β)-metric, Investigations In Mathematical Sciences, 2(1) (2012), 67-79.
  • Narasimhamurthy S.K. and Vasantha D.M., The study of locally dually flat Finsler space with special (α,β)-metric, Journal of Tensor Society, Vol. 6, No.1 (2012), 27-33.
  • Narasimhamurthy S.K. and Vasantha D.M., Geometry of locally dually flat Finsler space with special (α,β)-metric, Kuvempu University Sci. J.,Vol. 05, (2012), 137-144.
  • Narasimhamurthy S.K. and Vasantha D.M., Ricci Flow Equations on Special Finsler Space, Journal of Tensor Society, Special Vol. 8, No.1 (2014), 121-130.
  • Narasimhamurthy S.K., Chethana and Vasantha D.M., Ricci Flow Equations on Quasi-C-Reducible Finsler Space, International Journal of Mathematics Trends and Technology, Vol. 29, No.1 (2016), 28-32.
  • Vasantha D.M. and Narasimhamurthy S.K., Conformally Berwald Finsler space with Journal of Applied Science and Computations, Vol. 6, No. 6 (2019), 2229 -2231.
  • Sheelavathi R and Vasantha D.M., Conformally Berwald Finsler space with (α, β)- metric, IJRAR, (2019), 156-158.
  • Sheelavathi R and Vasantha D.M., Berwald Connection of the Finsler Space with an (α, β)-Metric, Global Journal of Pure and Applied Mathematics, Vol. 16, No. 2 (2020), 241-248.
  • Vasantha D.M. and Narasimhamurthy S.K., The study of Berwald connection of a Finsler space with a special (α, β)-Metric, Advances in Mathematics: Scientific Journal, Vol. 9, No. 6 (2020), 3221-3228.
  • Sheelavathi R and Vasantha D.M., R-complex Finsler spaces with (α, β)-Metric, Design Engineering, 2021, No. 9 (2021), 2854-2865.

Research Project

She worked on projective change and conformal change of Finsler spaces, locally dually flat and projectively flat Finsler spaces. Currently, she is guiding Ph.D. students in the field of Differential/Finsler Geometry and her current research interests mainly focus on the special Finsler spaces and its applications.

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