논문KCI 등재
Critical points and warped product metrics
1
조회
0
다운로드
1
인용
0
참고문헌
주제분류수학
초록
Abstract
It has been conjectured that, on a compact orientable manifoldM, a critical point of the total scalar curvature functionalrestricted the space of unit volume metrics of constant scalarcurvature is Einstein. In this paper we show that if a manifold isa 3-dimensional warped product, then (M,g) cannot be acritical point unless it is isometric to the standard sphere.
참고문헌 (6)
- "Manifolds of Riemannianmetrics with prescribed scalar curvature", 80, pp.479~ (1974)
- "Critical points of the scalar curvature functionalson the space of metrics of constant scalar curvature", 103(2), pp.135~142 (2000)
- "The critical point equation on a three dimensionalcompact manifold", 131(10), pp.3221~3230. (2003)
- "Remarques sur les vari'et'es conform'ementplates", 259(3), pp.313~ (1982)
- "Certain conditions for a Riemannian manifold to beisometric with a sphere", 14, pp.333~ (1962)
- "Certain conditions for a Riemannian manifold to beisometric with a sphere", 14, pp.333~ (1962)
관련 논문AI추천
The critical point equation on a four dimensional warped product manifold장정욱, 황승수대한수학회 · 대한수학회보2006 · 제43권 제4호Conformal deformations on warped product manifoldsByoung-SooByoung-Soon Jeong, Mi-Hyun Shin, Yoon-Tae Jung대한수학회 · 대한수학회논문집2003 · 제18권 제4호On the Ricci curvature of submanifolds in the warped product $L\times_{f} F$박진석, Young-Mi Kim대한수학회 · 대한수학회지2002 · 제39권 제5호Stable minimal hypersurfaces in a Critical Point Equation황승수대한수학회 · 대한수학회논문집2005 · 제20권 제4호CRITICAL POINT METRICS OF THE TOTAL SCALAR CURVATURE윤갑진, 장정욱, 황승수대한수학회 · 대한수학회보2012 · 제49권 제3호Biharmonic Maps on Doubly Warped Product ManifoldsKhaldia Madani, Seddik Ouakkas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호
이 간행물의 다른 논문 (17건)
Three Step Iterative Algorithms for Generalized Quasivariational Inclusions정재욱, 박종열pp. 1-11Cantor dimension and its application백인수pp. 13-18Correction to our paper:Projective systems supported on the complement of two linear subspaces김선정, 유미자, Masaaki Hommapp. 19-25Analytic Properties of the Limits of the Even and Odd Hyperpower Sequences조윤희, 김영원pp. 27-43Analytic Properties of the Limits of the Even and Odd Hyperpower Sequences김영원, 조윤희pp. 27-43