Riemannian Submersions Riemannian Maps in Hermitian Geometry and their Applications

Written By Bayram Sahin
Riemannian Submersions  Riemannian Maps in Hermitian Geometry  and their Applications
  • Publsiher : Academic Press
  • Release : 23 January 2017
  • ISBN : 0128044101
  • Pages : 360 pages
  • Rating : 4/5 from 21 reviews
GET THIS BOOKRiemannian Submersions Riemannian Maps in Hermitian Geometry and their Applications


Read or download book entitled Riemannian Submersions Riemannian Maps in Hermitian Geometry and their Applications written by Bayram Sahin which was release on 23 January 2017, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and self-contained exposition of recent developments in Riemannian submersions and maps relevant to complex geometry, focusing particularly on novel submersions, Hermitian manifolds, and K\{a}hlerian manifolds. Riemannian submersions have long been an effective tool to obtain new manifolds and compare certain manifolds within differential geometry. For complex cases, only holomorphic submersions function appropriately, as discussed at length in Falcitelli, Ianus and Pastore’s classic 2004 book. In this new book, Bayram Sahin extends the scope of complex cases with wholly new submersion types, including Anti-invariant submersions, Semi-invariant submersions, slant submersions, and Pointwise slant submersions, also extending their use in Riemannian maps. The work obtains new properties of the domain and target manifolds and investigates the harmonicity and geodesicity conditions for such maps. It also relates these maps with discoveries in pseudo-harmonic maps. Results included in this volume should stimulate future research on Riemannian submersions and Riemannian maps. Systematically reviews and references modern literature in Riemannian maps Provides rigorous mathematical theory with applications Presented in an accessible reading style with motivating examples that help the reader rapidly progress

Riemannian Submersions Riemannian Maps in Hermitian Geometry and their Applications

Riemannian Submersions  Riemannian Maps in Hermitian Geometry  and their Applications
  • Author : Bayram Sahin
  • Publisher : Academic Press
  • Release Date : 2017-01-23
  • Total pages : 360
  • ISBN : 0128044101
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Summary : Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and self-contained exposition of recent developments in Riemannian submersions and maps relevant to complex geometry, focusing particularly on novel submersions, Hermitian manifolds, and K\{a}hlerian manifolds. Riemannian submersions have long been an effective tool to obtain ...

Complex Geometry of Slant Submanifolds

Complex Geometry of Slant Submanifolds
  • Author : Bang-Yen Chen
  • Publisher : Springer Nature
  • Release Date : 2022-07-01
  • Total pages : 212
  • ISBN : 0128044101
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Summary : Download or read online Complex Geometry of Slant Submanifolds written by Bang-Yen Chen, published by Springer Nature which was released on . Get Complex Geometry of Slant Submanifolds Books now! Available in PDF, ePub and Kindle....

Differential Geometry and Global Analysis

Differential Geometry and Global Analysis
  • Author : Bang-Yen Chen,Nicholas D. Brubaker,Takashi Sakai,Bogdan D. Suceavă,Makiko Sumi Tanaka,Hiroshi Tamaru,Mihaela B. Vajiac
  • Publisher : American Mathematical Society
  • Release Date : 2022-04-07
  • Total pages : 242
  • ISBN : 0128044101
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Summary : This volume contains the proceedings of the AMS Special Session on Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano (1930–2017), held January 16, 2020, in Denver, Colorado. Tadashi Nagano was one of the great Japanese differential geometers, whose fundamental and seminal work still attracts much interest today. This volume is ...

Contact Geometry of Slant Submanifolds

Contact Geometry of Slant Submanifolds
  • Author : Bang-Yen Chen,Mohammad Hasan Shahid,Falleh Al-Solamy
  • Publisher : Springer Nature
  • Release Date : 2022-06-27
  • Total pages : 365
  • ISBN : 0128044101
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Summary : 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 ...

Manifolds II

Manifolds II
  • Author : Paul Bracken
  • Publisher : BoD – Books on Demand
  • Release Date : 2019-05-22
  • Total pages : 146
  • ISBN : 0128044101
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Summary : Differential geometry is a very active field of research and has many applications to areas such as physics, in particular gravity. The chapters in this book cover a number of subjects that will be of interest to workers in these areas. It is hoped that these chapters will be able ...

Pseudo Riemannian Geometry delta invariants and Applications

Pseudo Riemannian Geometry   delta  invariants and Applications
  • Author : Bang-yen Chen
  • Publisher : World Scientific
  • Release Date : 2011
  • Total pages : 477
  • ISBN : 0128044101
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Summary : The first part of this book provides a self-contained and accessible introduction to the subject in the general setting of pseudo-Riemannian manifolds and their non-degenerate submanifolds, only assuming from the reader some basic knowledge about manifold...

Differential Geometry of Lightlike Submanifolds

Differential Geometry of Lightlike Submanifolds
  • Author : Krishan L. Duggal,Bayram Sahin
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-02-02
  • Total pages : 488
  • ISBN : 0128044101
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Summary : 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....

Spectral Geometry Riemannian Submersions and the Gromov Lawson Conjecture

Spectral Geometry  Riemannian Submersions  and the Gromov Lawson Conjecture
  • Author : Peter B. Gilkey,John V Leahy,JeongHyeong Park
  • Publisher : CRC Press
  • Release Date : 1999-07-27
  • Total pages : 296
  • ISBN : 0128044101
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Summary : This cutting-edge, standard-setting text explores the spectral geometry of Riemannian submersions. Working for the most part with the form valued Laplacian in the class of smooth compact manifolds without boundary, the authors study the relationship-if any-between the spectrum of Dp on Y and Dp on Z, given that Dp is ...

Semi Riemannian Geometry With Applications to Relativity

Semi Riemannian Geometry With Applications to Relativity
  • Author : Barrett O'Neill
  • Publisher : Academic Press
  • Release Date : 1983-07-29
  • Total pages : 468
  • ISBN : 0128044101
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Summary : This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed ...

Harmonic Morphisms Between Riemannian Manifolds

Harmonic Morphisms Between Riemannian Manifolds
  • Author : Paul Baird,Professor of Mathematics Paul Baird,John C. Wood,John C.. Wood,Professor of Pure Mathematics John C Wood
  • Publisher : Oxford University Press
  • Release Date : 2003
  • Total pages : 520
  • ISBN : 0128044101
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Summary : This is the first account in book form of the theory of harmonic morphisms between Riemannian manifolds. Harmonic morphisms are maps which preserve Laplace's equation. They can be characterized as harmonic maps which satisfy an additional first order condition. Examples include harmonic functions, conformal mappings in the plane, and holomorphic ...

Riemannian Submersions and Related Topics

Riemannian Submersions and Related Topics
  • Author : Maria Falcitelli,Anna Maria Pastore,Stere Ianus?
  • Publisher : World Scientific
  • Release Date : 2004
  • Total pages : 277
  • ISBN : 0128044101
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Summary : This book provides the first-ever systematic introduction to thetheory of Riemannian submersions, which was initiated by BarrettO''Neill and Alfred Gray less than four decades ago. The authorsfocus their attention on classification theorems when the total spaceand the fibres have nice geometric properties....

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
  • Author : Michiel Hazewinkel
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 632
  • ISBN : 0128044101
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Summary : This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume ...

Geometry of Cauchy Riemann Submanifolds

Geometry of Cauchy Riemann Submanifolds
  • Author : Sorin Dragomir,Mohammad Hasan Shahid,Falleh R. Al-Solamy
  • Publisher : Springer
  • Release Date : 2016-05-31
  • Total pages : 390
  • ISBN : 0128044101
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Summary : This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The ...

Two Reports on Harmonic Maps

Two Reports on Harmonic Maps
  • Author : James Eells,Luc Lemaire
  • Publisher : World Scientific
  • Release Date : 1995-03-29
  • Total pages : 228
  • ISBN : 0128044101
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Summary : Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry. They include holomorphic maps, minimal surfaces, σ-models in physics. Recently, they have become powerful tools in the study of global properties of Riemannian and Kählerian manifolds. A ...

Mathematical Reviews

Mathematical Reviews
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2004
  • Total pages : 212
  • ISBN : 0128044101
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Summary : Download or read online Mathematical Reviews written by , published by which was released on 2004. Get Mathematical Reviews Books now! Available in PDF, ePub and Kindle....