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 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

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  • Author : Bayram Sahin
  • Publisher : Academic Press
  • Pages : 360 pages
  • ISBN : 0128044101
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKRiemannian Submersions Riemannian Maps in Hermitian Geometry and their Applications

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 BOOKRiemannian 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

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 : 07 April 2022
GET THIS BOOKDifferential Geometry and Global Analysis

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 inspired by his work and his legacy and, while recalling historical results, presents recent developments in the geometry of symmetric spaces as well as generalizations of symmetric spaces; minimal surfaces

Riemannian Submersions and Related Topics

Riemannian Submersions and Related Topics
  • Author : Maria Falcitelli,Anna Maria Pastore,Stere Ianus?
  • Publisher : World Scientific
  • Release : 01 July 2022
GET THIS BOOKRiemannian 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.

Pseudo-Riemannian Geometry, δ-Invariants and Applications

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

Semi-Riemannian Maps and Their Applications

Semi-Riemannian Maps and Their Applications
  • Author : Eduardo García-Río,D.N. Kupeli
  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOKSemi-Riemannian Maps and Their Applications

A major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric properties. Here, a class of such maps called semi-Riemannian maps is introduced. The main purpose of this book is to present results in semi-Riemannian geometry obtained by the existence of such a map between semi-Riemannian manifolds, as well as to encourage the reader to explore these maps. The first three chapters are devoted to the development of fundamental

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 BOOKSpectral 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

Contact Geometry of Slant Submanifolds

Contact Geometry of Slant Submanifolds
  • Author : Bang-Yen Chen,Mohammad Hasan Shahid,Falleh Al-Solamy
  • Publisher : Springer Nature
  • Release : 27 June 2022
GET THIS BOOKContact Geometry of Slant Submanifolds

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

Manifolds II

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

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 : 01 July 2022
GET THIS BOOKHarmonic 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,

Geometry of Submanifolds

Geometry of Submanifolds
  • Author : Bang-Yen Chen
  • Publisher : Courier Dover Publications
  • Release : 12 June 2019
GET THIS BOOKGeometry of Submanifolds

The first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold. Suitable for graduate students and mathematicians in the area of classical and modern differential geometries, the treatment is largely self-contained. Problems

Structures on Manifolds

Structures on Manifolds
  • Author : K Yano,M Kon
  • Publisher : World Scientific
  • Release : 01 February 1985
GET THIS BOOKStructures on Manifolds

Contents: Riemannian ManifoldsSubmanifolds of Riemannian ManifoldsComplex ManifoldsSubmanifolds of Kaehlerian ManifoldsContact ManifoldsSubmanifolds of Sasakian Manifoldsf-StructuresProduct ManifoldsSubmersions Readership: Mathematicians. Keywords:Riemannian Manifold;Submanifold;Complex Manifold;Contact Manifold;Kaehlerian Manifold;Sasakian Manifold;Anti-Invariant Submanifold;CR Submanifold;Contact CR Submanifold;Submersion

Geometry of CR-Submanifolds

Geometry of CR-Submanifolds
  • Author : Aurel Bejancu
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKGeometry of CR-Submanifolds

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized