Surfaces Family With Common Smarandache Geodesic Curve According To Bishop Frame In Euclidean Space

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Surfaces Family With Common Smarandache Geodesic Curve According To Bishop Frame In Euclidean Space

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Author : Gülnur Saffak Atalay
language : en
Publisher: Infinite Study
Release Date :

Surfaces Family With Common Smarandache Geodesic Curve According To Bishop Frame In Euclidean Space written by Gülnur Saffak Atalay and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Bishop frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the geodesic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache geodesic curve.

Surfaces Family With Common Smarandache Geodesic Curve According To Bishop Frame In Euclidean Space

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Author : Gülnur Saffak Atalay
language : en
Publisher: Infinite Study
Release Date :

Surfaces Family With Common Smarandache Geodesic Curve According To Bishop Frame In Euclidean Space written by Gülnur Saffak Atalay and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Bishop frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the geodesic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache geodesic curve.

Surfaces Family With A Common Mannheim Geodesic Curve

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Author : Gülnur ŞAFFAK ATALAY
language : en
Publisher: Infinite Study
Release Date :

Surfaces Family With A Common Mannheim Geodesic Curve written by Gülnur ŞAFFAK ATALAY and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

In this paper, we analyzed surfaces family possessing a Mannheim partner curve of a given curve as a geodesic. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame and derive the necessary and sufficient conditions for coefficients to satisfy both the geodesic and isoparametric requirements. The extension to ruled surfaces is also outlined. Finally, examples are given to show the family of surfaces with common Mannheim geodesic curve.

2nd International Students Science Congress Proceedings

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Author : Mahamat Ali Amine Ouchar
language : en
Publisher: Infinite Study
Release Date :

2nd International Students Science Congress Proceedings written by Mahamat Ali Amine Ouchar and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

The aim of this study is to determine PstI polymorphism in the exon 6 region of the Pituitary-specific Transcription Factor (Pit-1) gene which is regarded as a candidate gene in mammals in regulating growth and development in 6 different goat breeds reared in Turkey. PstI polymorphism in Pit-1 gene (450 bp) was investigated by Restriction Fragment Length Polymorphism (RFLP) method in a total of 217 goats including 36 Hair, 18 Angora, 43 Kilis, 37 Honamlı, 46 Halep and 37 heads of Saanen breeds.

On Ruled Surfaces Defined By Smarandache Curve

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Author : Amine Yılmaz
language : un
Publisher: Infinite Study
Release Date :

On Ruled Surfaces Defined By Smarandache Curve written by Amine Yılmaz and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

In the surfaces theory, it is well-known that a surface is called to be a ruled surface if it is generated by a continuously moving of a straight line in the space. Since a ruled surface is obtained by a line movement, its geometry has many nice properties and such surfaces have been studied by many authors, see: [4, 5, 6] and references therein. Ruled surfaces are also important subject in many applications. In particular, such surfaces have been used in computer aided engineering design (CAD) [7].

A Simple Non Euclidean Geometry And Its Physical Basis

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Author : Isaak Moiseevic Jaglom
language : en
Publisher:
Release Date : 1979

A Simple Non Euclidean Geometry And Its Physical Basis written by Isaak Moiseevic Jaglom and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.

A First Course In Differential Geometry

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Author : Vaisman
language : en
Publisher: CRC Press
Release Date : 1983-12-13

A First Course In Differential Geometry written by Vaisman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-12-13 with Mathematics categories.

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.

The Worldwide List Of Alternative Theories And Critics

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Author : Jean de Climont
language : en
Publisher: Editions d Assailly
Release Date : 2020-11-01

The Worldwide List Of Alternative Theories And Critics written by Jean de Climont and has been published by Editions d Assailly this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-01 with Science categories.

This Worldwide List of Alternative Theories and Critics (only avalailable in english language) includes scientists involved in scientific fields. The 2023 issue of this directory includes the scientists found in the Internet. The scientists of the directory are only those involved in physics (natural philosophy). The list includes 9700 names of scientists (doctors or diplome engineers for more than 70%). Their position is shortly presented together with their proposed alternative theory when applicable. There are nearly 3500 authors of such theories, all amazingly very different from one another. The main categories of theories are presented in an other book of Jean de Climont THE ALTERNATIVE THEORIES

Special Smarandache Ruled Surfaces According To Flc Frame

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Author : Suleyman Senyurt
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

Special Smarandache Ruled Surfaces According To Flc Frame written by Suleyman Senyurt and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.

In this study, we introduce some special ruled surfaces according to the Flc frame of a given polynomial curve. We name these ruled surfaces as Smarandache ruled surfaces and provide their characteristics such as Gauss and mean curvatures in order to specify their developability and minimality conditions. Moreover, we examine the conditions if the parametric curves of the surfaces are asymptotic, geodesic or curvature line. Such conditions are also argued in terms of the developability and minimality conditions. Finally, we give an example and picture the corresponding graphs of ruled surfaces by using Maple17.

Differential Geometry Of Warped Product Manifolds And Submanifolds

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Author : Bang-yen Chen
language : en
Publisher: World Scientific
Release Date : 2017-05-29

Differential Geometry Of Warped Product Manifolds And Submanifolds written by Bang-yen Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-29 with Mathematics categories.

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.