Browse > Article
http://dx.doi.org/10.4134/CKMS.2003.18.4.687

CONFORMAL DEFORMATIONS ON WARPED PRODUCT MANIFOLDS  

Jung, Yoon-Tae (Department of Mathematics Chosun University)
Jeong, Byoung-Soon (Department of Mathematics Chosun University)
Shin, Mi-Hyun (Department of Mathematics Chosun University)
Publication Information
Communications of the Korean Mathematical Society / v.18, no.4, 2003 , pp. 687-693 More about this Journal
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
warped product; scalar curvature; upper and lower solution method;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Constant Scalar Curvaturers on Warped Product Manifolds /
[ P.E.Ehrlich;Yoon-Tae Jung;Seon-Bu Kim ] / Tsukuba J. Math.   DOI
2 /
[ M.C.Leung ] / Uniquencess of Positive Solutions of the Equation <TEX>$DELTA_{go} + c_{n}u = c_{n} u^{{n+2}over{n-2}}$</TEX> and Applicationas to Conformal Transformations
3 Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds /
[ P.Aviles;R.McOwen ] / Diff. Geom.   DOI
4 /
[ M.C.Leung ] / Conformal deformation of warped products and scalar curvature functions on open manifolds
5 /
[ T.G.Powell ] / Ph.D thesis, Univ. of Missouri-Columbia
6 Warped product manifolds in relativity /
[ J.K.Beem;P.E.Ehrlich;Th.G.Powell;Th.M.Rassias(ed.);G.M.Rassias(ed.) ] / Selected Studies
7 Conformal scalar curvature equations on complete manifolds /
[ M.C.Leung ] / Comm. in P.D.E.   DOI   ScienceOn
8 Scalar curvature and conformal deformation of Riemannian structure /
[ J.L.Kazdan;F.W.Warner ] / J. Diff. Geo.   DOI
9 Existence and conformal deformation of metrics with prescribed Guassian and scalar curvature /
[ J.L.Kazdan;F.W.Warner ] / Ann. of Math.   DOI   ScienceOn