Pointwise 1 Type Gauss Map Os Developable Smarandache Rules Surfaces
DOWNLOAD
Download Pointwise 1 Type Gauss Map Os Developable Smarandache Rules Surfaces PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Pointwise 1 Type Gauss Map Os Developable Smarandache Rules Surfaces book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Pointwise 1 Type Gauss Map Os Developable Smarandache Rules Surfaces
DOWNLOAD
Author : Stuti Tamta
language : en
Publisher: Infinite Study
Release Date : 2023-01-01
Pointwise 1 Type Gauss Map Os Developable Smarandache Rules Surfaces written by Stuti Tamta 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 paper, we study the developable TN, TB, and NB-Smarandache ruled surface with a pointwise 1-type Gauss map. In particular, we obtain that every developable TN-Smarandache ruled surface has constant mean curvature, and every developable TB-Smarandache ruled surface is minimal if and only if the curve is a place curve with non-zero curvature or a helix, and every developable NB-Smarandache ruled surface is always plane. We also provide some examples.
The Geometry Of The Generalized Gauss Map
DOWNLOAD
Author : David A. Hoffman
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
The Geometry Of The Generalized Gauss Map written by David A. Hoffman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
This paper is devoted primarily to the study of properties of the Grassmannian of oriented 2-planes in [double-struck capital]R[superscript]n and to applications of these properties to understanding minimal surfaces in [double-struck capital]R[superscript]n via the generalized Gauss map. The extrinsic geometry of the Grassmannian, when considered as a submanifold of [double-struck capital]CP[superscript]n-2, is investigated, with special emphasis on the nature of the intersection of the Grassmannian with linear subspaces of [double-struck capital]CP[superscript]n-1. These results are the basis for a discussion of minimal surfaces that are degenerate in various ways; understanding the different types of degeneracy and their interrelations is a critical step toward obtaining a clear picture of the basic geometric properties of minimal surfaces in [double-struck capital]R[superscript]n.
Special Smarandache Ruled Surfaces According To Flc Frame
DOWNLOAD
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.
Ruled Surfaces With Gauss Map Of Finite Type
DOWNLOAD
Author : Thomas Hasanis
language : en
Publisher:
Release Date : 1992
Ruled Surfaces With Gauss Map Of Finite Type written by Thomas Hasanis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
On The Gauss Map Of Minimal Surfaces Immersed In R N
DOWNLOAD
Author : Min Ru
language : en
Publisher:
Release Date : 1990
On The Gauss Map Of Minimal Surfaces Immersed In R N written by Min Ru and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
The Gauss Map Of Spacelike Surfaces In R P 2 P1
DOWNLOAD
Author : Chen Weihuan
language : en
Publisher:
Release Date : 1996
The Gauss Map Of Spacelike Surfaces In R P 2 P1 written by Chen Weihuan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Noether S Theorems
DOWNLOAD
Author : Gennadi Sardanashvily
language : en
Publisher: Springer
Release Date : 2016-03-18
Noether S Theorems written by Gennadi Sardanashvily and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-18 with Mathematics categories.
The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very general setting of reducible degenerate graded Lagrangian theory.
Differential Geometry Of Warped Product Manifolds And Submanifolds
DOWNLOAD
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.
Tensor Calculus And Riemannian Geometry
DOWNLOAD
Author : D. C. Agarwal
language : en
Publisher: Krishna Prakashan Media
Release Date : 2013
Tensor Calculus And Riemannian Geometry written by D. C. Agarwal and has been published by Krishna Prakashan Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Finsler Geometry And Applications
DOWNLOAD
Author : Aurel Bejancu
language : en
Publisher:
Release Date : 1990
Finsler Geometry And Applications written by Aurel Bejancu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Finsler spaces categories.