Special Issue on Study on Various Connections and Transformations with H- Vector, Four and Five Special Finsler Spaces and Its Hypersurfaces

Submission Deadline: Feb. 10, 2020

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Special Issue Flyer (PDF)
  • Lead Guest Editor
    • Shiv Kumar Tiwari
      Department of Mathematics, K. S. Saket P. G. College Ayodhya, Amanigunj, Uttar Pradesh, India
  • Guest Editor
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    • Department of Mathematics, K. S. Saket P. G. College Ayodhya, Amanigunj, Uttar Pradesh, India
    • Dr Dharmendra Singh
      Department Of Economics, KS Saket PG College Ayodhya U.P., Ayodhya, Uttar Pradesh, India
  • Introduction

    The study of Differential geometry makes us aware of the potential applications of exploring non- linear aspects and non- trivial symmetries arising in various models of gravity, classical and quantum field theory and geometric mechanics. The basic idea of Finsler space came from the groundbreaking “habilitation” lecture of Riemann: uber die Hypothesis; Welch der Geometric zugrnde liegen (on the Hypothesis, which lie at the Foundations of Geometry). During the last thirty years, Finsler geometry has gone under remarkable developments. Specially, a lot of results from Riemannian manifolds have been extended for Finsler manifolds by the researchers from all over the world.Presently, Finsler geometry has found an abundance of applications in both Physics and its applications. Finsler geometry has its roots in various problems of Differential equations, Calculus of variations, Mechanics and Theoretical Physics. Such applications include not only has the traditional area of the general Relativity, but also the theory of Yang- Mills fielded non- linear sigma models, superstring theory and quantum gravity and Biology. In Biology there are a lot of Finsler metrics which are suitable to describe biological models like Protien structure, coral leaf ecology etc.
    The applications of Finsler geometry in various fields of science and its pure impact on real life problems motivate researchers to do research in this beautiful area of mathematics. We have worked on several interesting and important topics of Finsler Geometry like generalized beta – change of Finsler spaces, projective motion of Finsler spaces, Hypersurface of Finsler space with generalized beta – change of Finsler metric, generalized beta – change with h- vector in special Finsler spaces, theory of four and five dimensional ch- symmetric Finsler space with constant unified main scalar, recurrent Wagner connection of Finsler space with mth – root metric . I am currently working on existence of generalized beta conformal change of Finsler metric with an h- vector and investigating more than five dimensional ch symmetric Finsler spaces with constant unified main scalar.
    Aims and Scope:
    1. Generalized Beta - Change
    2. Generalized Beta- Conformal Change
    3. Finsler Space, Miron Frame, Unified Main Scalar, Landsberg Space
    4. Hypersurface
    5. H-vector
    6. T- tensor

  • Guidelines for Submission

    Manuscripts can be submitted until the expiry of the deadline. Submissions must be previously unpublished and may not be under consideration elsewhere.

    Papers should be formatted according to the guidelines for authors (see: http://www.applmath.org/submission). By submitting your manuscripts to the special issue, you are acknowledging that you accept the rules established for publication of manuscripts, including agreement to pay the Article Processing Charges for the manuscripts. Manuscripts should be submitted electronically through the online manuscript submission system at http://www.sciencepublishinggroup.com/login. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal and will be listed together on the special issue website.