CONSTRUCTION OF SELFDUAL EINSTEIN METRIC ON 4-DIMENSIONAL MANIFOLD

CONSTRUCTION OF SELFDUAL EINSTEIN METRIC ON 4-DIMENSIONAL MANIFOLD

Einstein manifold have shown a wide usage for many important topics in Riemannian geometry, for example: Riemannian submersions, homogeneous Riemannian spaces, Riemannian functionals and its critical point, Yang-Mills theory, 4-dimensional selfdual manifold, holonomy group, and quaternionic manifold...

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Main Author: (NIM 10205024); Pembimbing: Dr. rer. nat. Bobby Eka Gunara, SUMARIO
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/17326
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:17326
spelling id-itb.:173262017-09-27T11:45:13ZCONSTRUCTION OF SELFDUAL EINSTEIN METRIC ON 4-DIMENSIONAL MANIFOLD (NIM 10205024); Pembimbing: Dr. rer. nat. Bobby Eka Gunara, SUMARIO Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/17326 Einstein manifold have shown a wide usage for many important topics in Riemannian geometry, for example: Riemannian submersions, homogeneous Riemannian spaces, Riemannian functionals and its critical point, Yang-Mills theory, 4-dimensional selfdual manifold, holonomy group, and quaternionic manifold [8]. In this paper, I construct selfdual Einstein metrics of nonzero scalar curvature with two commuting Killing fields, these metrics are called Calderbank-Pedersen metrics, to construct this metric we need some properties of selfdual spaces found by Joyce and some Einstein-Weyl spaces found by Ward so we shall discuss the relation of this construction to a class of selfdual spaces found by Joyce [3], and some Einstein-Weyl spaces found by Ward [6]. <br /> text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description Einstein manifold have shown a wide usage for many important topics in Riemannian geometry, for example: Riemannian submersions, homogeneous Riemannian spaces, Riemannian functionals and its critical point, Yang-Mills theory, 4-dimensional selfdual manifold, holonomy group, and quaternionic manifold [8]. In this paper, I construct selfdual Einstein metrics of nonzero scalar curvature with two commuting Killing fields, these metrics are called Calderbank-Pedersen metrics, to construct this metric we need some properties of selfdual spaces found by Joyce and some Einstein-Weyl spaces found by Ward so we shall discuss the relation of this construction to a class of selfdual spaces found by Joyce [3], and some Einstein-Weyl spaces found by Ward [6]. <br />
format Final Project
author (NIM 10205024); Pembimbing: Dr. rer. nat. Bobby Eka Gunara, SUMARIO
spellingShingle (NIM 10205024); Pembimbing: Dr. rer. nat. Bobby Eka Gunara, SUMARIO
CONSTRUCTION OF SELFDUAL EINSTEIN METRIC ON 4-DIMENSIONAL MANIFOLD
author_facet (NIM 10205024); Pembimbing: Dr. rer. nat. Bobby Eka Gunara, SUMARIO
author_sort (NIM 10205024); Pembimbing: Dr. rer. nat. Bobby Eka Gunara, SUMARIO
title CONSTRUCTION OF SELFDUAL EINSTEIN METRIC ON 4-DIMENSIONAL MANIFOLD
title_short CONSTRUCTION OF SELFDUAL EINSTEIN METRIC ON 4-DIMENSIONAL MANIFOLD
title_full CONSTRUCTION OF SELFDUAL EINSTEIN METRIC ON 4-DIMENSIONAL MANIFOLD
title_fullStr CONSTRUCTION OF SELFDUAL EINSTEIN METRIC ON 4-DIMENSIONAL MANIFOLD
title_full_unstemmed CONSTRUCTION OF SELFDUAL EINSTEIN METRIC ON 4-DIMENSIONAL MANIFOLD
title_sort construction of selfdual einstein metric on 4-dimensional manifold
url https://digilib.itb.ac.id/gdl/view/17326
_version_ 1820745579142053888

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