Contact Geometry Of Slant Submanifolds

Author : Bang-Yen Chen
Publisher : Springer Nature
ISBN 13 : 9811600171
Total Pages : 372 pages
Book Rating : 4.73/5 ( download)

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Download or read book Contact Geometry of Slant Submanifolds written by Bang-Yen Chen and published by Springer Nature. This book was released on 2022-06-27 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an up-to-date survey and self-contained chapters on contact slant submanifolds and geometry, authored by internationally renowned researchers. The notion of slant submanifolds was introduced by Prof. B.Y. Chen in 1990, and A. Lotta extended this notion in the framework of contact geometry in 1996. Numerous differential geometers have since obtained interesting results on contact slant submanifolds. The book gathers a wide range of topics such as warped product semi-slant submanifolds, slant submersions, semi-slant ξ┴ -, hemi-slant ξ┴ -Riemannian submersions, quasi hemi-slant submanifolds, slant submanifolds of metric f-manifolds, slant lightlike submanifolds, geometric inequalities for slant submanifolds, 3-slant submanifolds, and semi-slant submanifolds of almost paracontact manifolds. The book also includes interesting results on slant curves and magnetic curves, where the latter represents trajectories moving on a Riemannian manifold under the action of magnetic field. It presents detailed information on the most recent advances in the area, making it of much value to scientists, educators and graduate students.

Author : Bang-Yen Chen
Publisher : Springer Nature
ISBN 13 : 981160021X
Total Pages : 393 pages
Book Rating : 4.10/5 ( download)

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Download or read book Complex Geometry of Slant Submanifolds written by Bang-Yen Chen and published by Springer Nature. This book was released on 2022-05-11 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an up-to-date survey and self-contained chapters on complex slant submanifolds and geometry, authored by internationally renowned researchers. The book discusses a wide range of topics, including slant surfaces, slant submersions, nearly Kaehler, locally conformal Kaehler, and quaternion Kaehler manifolds. It provides several classification results of minimal slant surfaces, quasi-minimal slant surfaces, slant surfaces with parallel mean curvature vector, pseudo-umbilical slant surfaces, and biharmonic and quasi biharmonic slant surfaces in Lorentzian complex space forms. Furthermore, this book includes new results on slant submanifolds of para-Hermitian manifolds. This book also includes recent results on slant lightlike submanifolds of indefinite Hermitian manifolds, which are of extensive use in general theory of relativity and potential applications in radiation and electromagnetic fields. Various open problems and conjectures on slant surfaces in complex space forms are also included in the book. It presents detailed information on the most recent advances in the area, making it valuable for scientists, educators and graduate students.

Author : Bang-Yen Chen
Publisher : Springer Nature
ISBN 13 : 981999750X
Total Pages : 230 pages
Book Rating : 4.03/5 ( download)

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Download or read book Geometry of Submanifolds and Applications written by Bang-Yen Chen and published by Springer Nature. This book was released on with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bang-yen Chen
Publisher :
ISBN 13 :
Total Pages : 123 pages
Book Rating : 4.57/5 ( download)

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Download or read book Geometry of Slant Submanifolds written by Bang-yen Chen and published by . This book was released on 1990 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Meraj Ali Khan
Publisher :
ISBN 13 : 9783846501535
Total Pages : 112 pages
Book Rating : 4.30/5 ( download)

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Download or read book Geometry 0f Bi-slant Submanifolds written by Meraj Ali Khan and published by . This book was released on 2011-11 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bang-yen Chen
Publisher : World Scientific
ISBN 13 : 9813208945
Total Pages : 517 pages
Book Rating : 4.40/5 ( download)

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Download or read book Differential Geometry Of Warped Product Manifolds And Submanifolds written by Bang-yen Chen and published by World Scientific. This book was released on 2017-05-29 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Krishan L. Duggal
Publisher : Springer Science & Business Media
ISBN 13 : 3034602510
Total Pages : 484 pages
Book Rating : 4.18/5 ( download)

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Download or read book Differential Geometry of Lightlike Submanifolds written by Krishan L. Duggal and published by Springer Science & Business Media. This book was released on 2011-02-02 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents research on the latest developments in differential geometry of lightlike (degenerate) subspaces. The main focus is on hypersurfaces and a variety of submanifolds of indefinite Kählerian, Sasakian and quaternion Kähler manifolds.

Author : Yoshihiko Tazawa
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.39/5 ( download)

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Download or read book Differential Geometry of Slant Surfaces written by Yoshihiko Tazawa and published by . This book was released on 1989 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Young Jin Suh
Publisher : Springer
ISBN 13 : 9811055564
Total Pages : 360 pages
Book Rating : 4.60/5 ( download)

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Download or read book Hermitian–Grassmannian Submanifolds written by Young Jin Suh and published by Springer. This book was released on 2017-09-14 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016. The Workshop was supported by the Research Institute of Real and Complex Manifolds (RIRCM) and the National Research Foundation of Korea (NRF). The Organizing Committee invited 30 active geometers of differential geometry and related fields from all around the globe to discuss new developments for research in the area. These proceedings provide a detailed overview of recent topics in the field of real and complex submanifolds.

Author : Pawan Rao
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659302763
Total Pages : 152 pages
Book Rating : 4.67/5 ( download)

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Download or read book Structures on Complex Manifolds written by Pawan Rao and published by LAP Lambert Academic Publishing. This book was released on 2013 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complex geometry deals with complex manifold which is a core of contemporary research in differential geometry. Over the last few decades, work in the field of complex manifold was slow. A. Gray worked on the basic structures of complex manifolds, such as Hermitian manifolds, nearly Kaehler manifolds, etc. S. Ishihara studied quaternion Kaehlerian manifolds. A. Bejancu generalized this notion in a very good manner and studied Geometry of CR-submanifolds. But B.Y. Chen in 1990, generalized the concept and established Geometry of slant submanifolds. Afterwards, several geometers tried to work on the generalized structure of complex manifolds. In this book, it has been tried to generalize the concept on complex manifolds. The initial chapters establish inequalities between the Ricci curvature and the squared mean curvature, B.Y. Chen inequalities for certain slant submanifolds and also establishes an inequality between the warping function and the squared mean curvature for totally real warped product submanifolds. This book tells about the study of certain structures of slant, semi-slant and bi-slant submanifolds in generalized complex space forms and in quaternion space forms.