Riemannian Submersions Riemannian Maps in Hermitian Geometry and their Applications

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  • Author : Bayram Sahin
  • Publisher : Academic Press
  • Pages : 360 pages
  • ISBN : 0128044101
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Riemannian Submersions Riemannian Maps in Hermitian Geometry and their Applications

Download or Read online Riemannian Submersions Riemannian Maps in Hermitian Geometry and their Applications full in PDF, ePub and kindle. this book written by Bayram Sahin and published by Academic Press which was released on 23 January 2017 with total page 360 pages. We cannot guarantee that Riemannian Submersions Riemannian Maps in Hermitian Geometry and their Applications book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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 : 23 January 2017
GET THIS BOOK Riemannian Submersions Riemannian Maps in Hermitian Geometry and their Applications

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

Manifolds II

Manifolds II
  • Author : Paul Bracken
  • Publisher : BoD – Books on Demand
  • Release : 22 May 2019
GET THIS BOOK Manifolds II

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 to provide a useful resource for researchers with regard to current fields of research in this important area.

Pseudo Riemannian Geometry Invariants and Applications

Pseudo Riemannian Geometry     Invariants and Applications
  • Author : Bang-Yen Chen
  • Publisher : World Scientific
  • Release : 23 March 2011
GET THIS BOOK Pseudo Riemannian Geometry Invariants and Applications

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 theory. A number of recent results on pseudo-Riemannian submanifolds are also included. The second part of this book is on δ-invariants, which was introduced in the early 1990s by the author. The famous Nash embedding theorem published in 1956 was aimed for, in the hope

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 : 27 July 1999
GET THIS BOOK Spectral Geometry Riemannian Submersions and the Gromov Lawson Conjecture

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 the p form valued Laplacian and pi: Z ® Y is a Riemannian submersion. After providing the necessary background, including basic differential geometry and a discussion of Laplace type operators, the

Riemannian Submersions and Related Topics

Riemannian Submersions and Related Topics
  • Author : Maria Falcitelli,Anna Maria Pastore,Stere Ianus?
  • Publisher : World Scientific
  • Release : 21 January 2022
GET THIS BOOK Riemannian Submersions and Related Topics

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.

Semi Riemannian Geometry With Applications to Relativity

Semi Riemannian Geometry With Applications to Relativity
  • Author : Barrett O'Neill
  • Publisher : Academic Press
  • Release : 29 July 1983
GET THIS BOOK Semi Riemannian Geometry With Applications to Relativity

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 almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed

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 : 21 January 2022
GET THIS BOOK Harmonic Morphisms Between Riemannian Manifolds

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 functions with values in a Riemann surface. There are connections with many concepts in differential geometry, for example, Killing fields, geodesics, foliations, Clifford systems, twistor spaces, Hermitian structures, iso-parametric mappings,

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
  • Author : Michiel Hazewinkel
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Encyclopaedia of Mathematics

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 enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Geometry of Cauchy Riemann Submanifolds

Geometry of Cauchy Riemann Submanifolds
  • Author : Sorin Dragomir,Mohammad Hasan Shahid,Falleh R. Al-Solamy
  • Publisher : Springer
  • Release : 31 May 2016
GET THIS BOOK Geometry of Cauchy Riemann Submanifolds

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 book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds.

Two Reports on Harmonic Maps

Two Reports on Harmonic Maps
  • Author : James Eells,Luc Lemaire
  • Publisher : World Scientific
  • Release : 29 March 1995
GET THIS BOOK Two Reports on Harmonic Maps

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 standard reference for this subject is a pair of Reports, published in 1978 and 1988 by James Eells and Luc Lemaire. This book presents these two reports in a single volume with

Differential Geometry

Differential Geometry
  • Author : Vagn Lundsgaard Hansen
  • Publisher : Springer
  • Release : 15 November 2006
GET THIS BOOK Differential Geometry

The Nordic Summer School 1985 presented to young researchers the mathematical aspects of the ongoing research stemming from the study of field theories in physics and the differential geometry of fibre bundles in mathematics. The volume includes papers, often with original lines of attack, on twistor methods for harmonic maps, the differential geometric aspects of Yang-Mills theory, complex differential geometry, metric differential geometry and partial differential equations in differential geometry. Most of the papers are of lasting value and provide a

Differential Geometry and Differential Equations

Differential Geometry and Differential Equations
  • Author : Chaohao Gu,Marcel Berger,Robert L. Bryant
  • Publisher : Springer
  • Release : 15 November 2006
GET THIS BOOK Differential Geometry and Differential Equations

The DD6 Symposium was, like its predecessors DD1 to DD5 both a research symposium and a summer seminar and concentrated on differential geometry. This volume contains a selection of the invited papers and some additional contributions. They cover recent advances and principal trends in current research in differential geometry.