SUBMANIFOLDS OF AN ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC METRIC CONNECTION

Ahmad, Mobin; Jun, Jae Bok

doi:10.5831/hmj.2010.32.3.363

Cited by 2 publications

(2 citation statements)

References 4 publications

(4 reference statements)

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“…structure. Ahmad and Jun [4] defined a semi-symmetric non-metric connection in an almost r-paracontact Riemannian manifold and they considered submanifolds of an almost r-paracontact Riemannian manifold endowed with a semi-symmetric non-metric connection. Also, in [5], [6], Kupeli Erken studied 3-dimensional normal almost paracontact metric manifolds.…”

Section: Introductionmentioning

confidence: 99%

Euler-Lagrange Equations With 3-Dimensional Real Number Space on an Almost Paracontact Manifold

2016

Jour. Pure Appl. Math. Adv. Appl.

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We consider Euler-Lagrange equations on almost paracontact manifolds. It is well known that the geometry of almost contact manifolds is a natural extension in the odd dimensional case of almost Hermitian geometry. A Hermitian manifold is a complex manifold with a Hermitian metric on its holomorphic tangent space. Also, the contact geometry as symplectic geometry has large and comprehensive applications in physics, geometrical optics, classical mechanics, thermodynamics, geometric quantization, and applied mathematics. On the other hand, one way of solving problems in classical and analytical mechanics is through use of the Euler-Lagrange equations. The purpose of the present paper is to solve the problems of classical mechanics with 3-dimensional real number space on an almost paracontact manifold by using Euler-Lagrange equations.

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Section: Introductionmentioning

confidence: 99%

Euler-Lagrange Equations With 3-Dimensional Real Number Space on an Almost Paracontact Manifold

2016

Jour. Pure Appl. Math. Adv. Appl.

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“…Some properties of quarter symmetric non-metric connection was studied by several authors in ( [13], [14], [15], [16]). This paper is organized as follows: In section 2, we give a brief introduction of nearly trans-hyperbolic Sasakian manifold.…”

Section: Introductionmentioning

confidence: 99%

CR-submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric non-metric connection

Ahmad¹,

Ojha²,

Siddiqui³

2014

IOSRJM

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SUBMANIFOLDS OF AN ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC METRIC CONNECTION

Cited by 2 publications

References 4 publications

Euler-Lagrange Equations With 3-Dimensional Real Number Space on an Almost Paracontact Manifold

Euler-Lagrange Equations With 3-Dimensional Real Number Space on an Almost Paracontact Manifold

CR-submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric non-metric connection

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