CONFORMAL DEFORMATIONS ON WARPED PRODUCT MANIFOLDS

Yoon-Tae Jung; Byoung-Soon Jeong; Minjeong Shin

doi:10.4134/ckms.2003.18.4.687

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CONFORMAL DEFORMATIONS ON WARPED PRODUCT MANIFOLDS

Yoon-Tae Jung Byoung-Soon Jeong Minjeong Shin

Year: 2003 Journal: Communications of the Korean Mathematical Society Vol: 18 (4)Pages: 687-693 Publisher: Korean Mathematical Society

DOI: 10.4134/ckms.2003.18.4.687

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Abstract

In this paper, when N is a compact Riemannian manifold, using warped products, we discuss the conformal deformation of a warped product metric on $M\;\;[a,\;\infty)\;\times\;_f\;N$ with specific warping functions.

Keywords:

Conformal map Image warping Product (mathematics) Manifold (fluid mechanics) Metric (unit) Deformation (meteorology) Pure mathematics Mathematics Mathematical analysis Physics Geometry Computer science Engineering Artificial intelligence Mechanical engineering

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Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Morphological variations and asymmetry

Physical Sciences → Mathematics → Geometry and Topology

Advanced Differential Geometry Research

Physical Sciences → Physics and Astronomy → Astronomy and Astrophysics

CONFORMAL DEFORMATIONS ON WARPED PRODUCT MANIFOLDS

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