scholarly journals Geometries for a mutual connection of semi-symmetric metric recurrent connections

Filomat ◽  
2020 ◽  
Vol 34 (13) ◽  
pp. 4367-4374
Author(s):  
Di Zhao ◽  
Talyun Ho ◽  
An Hyon
Keyword(s):  
Riemannian Manifold ◽  
Recurrent Connection ◽  
Geometrical Properties ◽  
Recurrent Connections

A semi-symmetric metric recurrent connection has already been studied. In this paper we newly discovered geometrical properties and conjugate symmetric condition for the mutual connection of a semi-symmetric metric recurrent connection in a Riemannian manifold.

scholarly journals A semi-symmetric metric connection on an integrated contact metric structure manifold

2016 ◽  
Vol 2 (12) ◽  
pp. 194
Author(s):  
Shalini Singh
Keyword(s):  
Riemannian Manifold ◽  
Linear Connection ◽  
Differentiable Manifold ◽  
Geometrical Properties ◽  
Metric Connection ◽  
Contact Metric Structure

In 1924, A. Friedmann and J. A. Schoten [1] introduced the idea of a semi-symmetric linear connection in a differentiable manifold. Hayden [2] has introduced the idea of metric connection with torsion in a Riemannian manifold. The properties of semi-symmetric metric connection in a Riemannian manifold have been studied by Yano [3] and others [4], [5]. The purpose of the present paper is to study some properties of semi-symmetric metric connection on an integrated contact metric structure manifold [6], several useful algebraic and geometrical properties have been studied.

scholarly journals On a generalized quarter symmetric metric recurrent connection

Filomat ◽  
2018 ◽  
Vol 32 (1) ◽  
pp. 207-215
Author(s):  
Wanxiao Tang ◽  
Yun Ho ◽  
Kwang Ri ◽  
Fengyun Fu ◽  
Peibiao Zhao
Keyword(s):  
Recurrent Connection ◽  
Geometrical Properties

We introduce a generalized quarter-symmetric metric recurrent connection and study its geometrical properties. We also derive the Schur?s theorem for the generalized quarter-symmetric metric recurrent connection.

scholarly journals A new curvaturelike tensor field in an almost contact Riemannian manifold II

2018 ◽  
Vol 103 (117) ◽  
pp. 113-128 ◽  
Author(s):  
Koji Matsumoto
Keyword(s):  
Riemannian Manifold ◽  
Curvature Tensor ◽  
Tensor Field ◽  
Sasakian Manifold ◽  
Tensor Fields ◽  
Geometrical Properties ◽  
Conformal Curvature ◽  
Conformal Curvature Tensor ◽  
Riemannian Curvature Tensor ◽  
Contact Riemannian Manifold

In the last paper, we introduced a new curvaturlike tensor field in an almost contact Riemannian manifold and we showed some geometrical properties of this tensor field in a Kenmotsu and a Sasakian manifold. In this paper, we define another new curvaturelike tensor field, named (CHR)3-curvature tensor in an almost contact Riemannian manifold which is called a contact holomorphic Riemannian curvature tensor of the second type. Then, using this tensor, we mainly research (CHR)3-curvature tensor in a Sasakian manifold. Then we define the notion of the flatness of a (CHR)3-curvature tensor and we show that a Sasakian manifold with a flat (CHR)3-curvature tensor is flat. Next, we introduce the notion of (CHR)3-?-Einstein in an almost contact Riemannian manifold. In particular, we show that Sasakian (CHR)3- ?-Einstein manifold is ?-Einstain. Moreover, we define the notion of (CHR)3- space form and consider this in a Sasakian manifold. Finally, we consider a conformal transformation of an almost contact Riemannian manifold and we get new invariant tensor fields (not the conformal curvature tensor) under this transformation. Finally, we prove that a conformally (CHR)3-flat Sasakian manifold does not exist.

scholarly journals On a Ricci quarter-symmetric metric recurrent connection and a projective Ricci quarter-symmetric metric recurrent connection in a Riemannian manifold

Filomat ◽  
2020 ◽  
Vol 34 (3) ◽  
pp. 795-806
Author(s):  
Di Zhao ◽  
Cholyong Jen ◽  
Talyun Ho
Keyword(s):  
Riemannian Manifold ◽  
Physical Characteristics ◽  
Recurrent Connection

Two new types of connections, Ricci quarter-symmetric metric recurrent connection and projective Ricci quarter-symmetric metric recurrent connection, were introduced and some interesting geometrical and physical characteristics were achieved.

Frictional magnetic curves in 3D Riemannian manifolds

2018 ◽  
Vol 15 (02) ◽  
pp. 1850020 ◽  
Author(s):  
Talat Korpinar ◽  
Ridvan Cem Demirkol
Keyword(s):  
Magnetic Field ◽  
Riemannian Manifold ◽  
Charged Particle ◽  
Vector Field ◽  
Riemannian Manifolds ◽  
Frictional Force ◽  
Magnetic Vector ◽  
Geometrical Properties ◽  
Physical Consequences ◽  
The Magnetic Field

In this study, we investigate the special type of magnetic trajectories associated with a magnetic field [Formula: see text] defined on a 3D Riemannian manifold. First, we consider a moving charged particle under the action of a frictional force, [Formula: see text], in the magnetic field [Formula: see text]. Then, we assume that trajectories of the particle associated with the magnetic field [Formula: see text] correspond to frictional magnetic curves ([Formula: see text]-magnetic curves[Formula: see text] of magnetic vector field [Formula: see text] on the 3D Riemannian manifold. Thus, we are able to investigate some geometrical properties and physical consequences of the particle under the action of frictional force in the magnetic field [Formula: see text] on the 3D Riemannian manifold.

Comparison of Cross-sectional Geometrical Properties and Bone Density between Saint-Bernard and other Giant Breed Dogs

2019 ◽  
Author(s):  
S. Mejia ◽  
A. Iodence ◽  
L. Griffin ◽  
S.J. Withrow ◽  
M. Salman ◽  
...  
Keyword(s):  
Bone Density ◽  
Cross Sectional ◽  
Geometrical Properties ◽  
Saint Bernard

Methodology of Calculation the Terminal Settling Velocity Distribution of Irregular Particles for High Values of the Reynold’s Number/Metodologia Wyliczania Rozkładu Granicznej Prędkości Opadania Ziaren Nieregularnych Dla Wysokich Wartości Liczb Reynoldsa

2014 ◽  
Vol 59 (2) ◽  
pp. 553-562 ◽  
Author(s):  
Agnieszka Surowiak ◽  
Marian Brożek
Keyword(s):  
Velocity Distribution ◽  
Settling Velocity ◽  
Random Variables ◽  
Independent Random Variables ◽  
Calculation Algorithm ◽  
Shape Coefficient ◽  
Geometrical Properties ◽  
Size And Shape ◽  
Physical Density ◽  
Settling Velocity Distribution

Abstract Settling velocity of particles, which is the main parameter of jig separation, is affected by physical (density) and the geometrical properties (size and shape) of particles. The authors worked out a calculation algorithm of particles settling velocity distribution for irregular particles assuming that the density of particles, their size and shape constitute independent random variables of fixed distributions. Applying theorems of probability, concerning distributions function of random variables, the authors present general formula of probability density function of settling velocity irregular particles for the turbulent motion. The distributions of settling velocity of irregular particles were calculated utilizing industrial sample. The measurements were executed and the histograms of distributions of volume and dynamic shape coefficient, were drawn. The separation accuracy was measured by the change of process imperfection of irregular particles in relation to spherical ones, resulting from the distribution of particles settling velocity.

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