Author: M. Elzawy Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
Book Description
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G4.
Smarandache curves in the Galilean 4-space G4
Author: M. Elzawy Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
Book Description
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G4.
ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2
Author: MIHRIBAN KULAHCIPublisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
In this paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.
On Geometry of Equiform Smarandache Ruled Surfaces via Equiform Frame in Minkowski 3-Space
Author: Emad Solouma Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14
Book Description
In this paper, some geometric properties of equiform Smarandache ruled surfaces in Minkowski space E13 using an equiform frame are investigated. Also, we give the sufficient conditions that make these surfaces are equiform developable and equiform minimal related to the equiform curvatures and when the equiform base curve contained in a plane or general helix. Finally, we provide an example, such as these surfaces.
MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES)
Author: Linfan MAOPublisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 135
Book Description
The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe, motivated by CC Conjecture of Dr.Linfan MAO on mathematical sciences. TheMathematical Combinatorics (International Book Series) is a fully refereed international book series with an ISBN number on each issue, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandachemulti-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.
A First Course in Differential Geometry
Author: VaismanPublisher: CRC Press
ISBN: 9780824770631
Category : Mathematics
Languages : en
Pages : 188
Book Description
This book proposes a new approach which is designed to serve as an introductory course in differential geometry for advanced undergraduate students. It is based on lectures given by the author at several universities, and discusses calculus, topology, and linear algebra.
Smarandache curves of some special curves in the Galilean 3-space
Author: H. S. Abdel-Aziz Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
Book Description
In the present paper, we consider a position vector of an arbitrary curve in the three-dimensional Galilean space G3. Furthermore, we give some conditions on the curvatures of this arbitrary curve to study special curves and their Smarandache curves. Finally, in the light of this study, some related examples of these curves are provided and plotted.
Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space
Author: H.S.Abdel-Aziz Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13
Book Description
In the present paper, Smarandache curves for some special curves in the threedimensional Galilean space G3are investigated. Moreover, spherical indicatrices for the helix as well as circular helix are introduced. Furthermore, some properties for these curves are given. Finally, in the light of this study, some related examples of these curves are provided.
Differential Geometry Of Warped Product Manifolds And Submanifolds
Author: Bang-yen ChenPublisher: World Scientific
ISBN: 9813208945
Category : Mathematics
Languages : en
Pages : 517
Book Description
A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry — except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y. The notion of warped product manifolds plays very important roles not only in geometry but also in mathematical physics, especially in general relativity. In fact, many basic solutions of the Einstein field equations, including the Schwarzschild solution and the Robertson-Walker models, are warped product manifolds.The first part of this volume provides a self-contained and accessible introduction to the important subject of pseudo-Riemannian manifolds and submanifolds. The second part presents a detailed and up-to-date account on important results of warped product manifolds, including several important spacetimes such as Robertson-Walker's and Schwarzschild's.The famous John Nash's embedding theorem published in 1956 implies that every warped product manifold can be realized as a warped product submanifold in a suitable Euclidean space. The study of warped product submanifolds in various important ambient spaces from an extrinsic point of view was initiated by the author around the beginning of this century.The last part of this volume contains an extensive and comprehensive survey of numerous important results on the geometry of warped product submanifolds done during this century by many geometers.
Tensor Calculus and Riemannian Geometry
Author: D. C. AgarwalPublisher: Krishna Prakashan Media
ISBN:
Category :
Languages : en
Pages : 256
Book Description
The Changing Shape of Geometry
Author: Mathematical Association of AmericaPublisher: Cambridge University Press
ISBN: 9780521531627
Category : Mathematics
Languages : en
Pages : 572
Book Description
Collection of popular articles on geometry from distinguished mathematicians and educationalists.