지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
On a compact n-dimensional manifold M, it has been conjectured that a critical point metric of the total scalar curvature, restricted to the space of metrics with constant scalar curvature of volume 1, should be Einstein. The purpose of the present paper is to prove that a 3-dimensional manifold (M,g) is isometric to a standard sphere if ker $s^*_g{{\neq}}0$ and there is a lower Ricci curvature bound. We also study the structure of a compact oriented stable minimal surface in M.
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
A.L. Besse / 1987 / Einstein Manifolds / Springer-Verlag
A.E. Fischer / 1974 / Manifolds of Riemannian Metrics with Prescribed Scalar Curvature / Bull. Am. Math. Soc 80:479~484
S. Hwang / 2000 / Critical points of the scalar curvature functionals on the space of metrics of constant scalar curvature / manuscripta math 103:135~142
S. Hwang / 2003 / The critical point equation on a three dimensional compact manifold’ / Proc. Amer. Math. Soc 131:3221~3230
황승수 / 2005 / Stable minimal hypersurfaces in a Critical Point Equation / 대한수학회논문집 20(4):775~779
A.E. Fischer / 1974 / Manifolds of Riemannian Metrics with Prescribed Scalar Curvature / Bull. Am. Math. Soc 80:479~484
S. Hwang / 2000 / Critical points of the scalar curvature functionals on the space of metrics of constant scalar curvature / manuscripta math 103:135~142
S. Hwang / 2003 / The critical point equation on a three dimensional compact manifold’ / Proc. Amer. Math. Soc 131:3221~3230
황승수 / 2005 / Stable minimal hypersurfaces in a Critical Point Equation / 대한수학회논문집 20(4):775~779
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Some remarks on stable minimal surfaces in the critical point of the total scalar curvature
대한수학회논문집
2008 .01
-
Three dimensional critical point of the total scalar curvature
대한수학회보
2013 .01
-
A NOTE ON DECREASING SCALAR CURVATURE FROM FLAT METRICS
호남수학학술지
2013 .01
-
Weakly Einstein critical point equation
대한수학회보
2016 .01
-
RICCI AND SCALAR CURVATURES ON SU(3)
호남수학학술지
2012 .01
-
PARTIAL DIFFERENTIAL EQUATIONS AND SCALAR CURVATURES ON SPACE-TIMES
호남수학학술지
2005 .01
-
CRITICAL POINT METRICS OF THE TOTAL SCALAR CURVATURE
대한수학회보
2012 .01
-
Addendum and Erratum to “On the structure of the fundamental group of manifolds with positive scalar curvature”
대한수학회보
2013 .01
-
α-SCALAR CURVATURE OF THE t-MANIFOLD
호남수학학술지
2011 .01
-
On the structure of the fundamental group of manifolds with positive scalar curvature
대한수학회보
2011 .01
-
Deformation of Cartan curvature on Finsler manifolds
대한수학회보
2017 .01
-
A NOTE ON SCALAR CURVATURE FUNCTIONS OF ALMOST-KÄAHLER METRICS
순수 및 응용수학
2013 .01
-
SCALAR CURVATURE DECREASE FROM A HYPERBOLIC METRIC
순수 및 응용수학
2013 .01
-
A THEOREM OF G-INVARIANT MINIMAL HYPERSURFACES WITH CONSTANT SCALAR CURVATURES IN S
호남수학학술지
2009 .01
-
Stable minimal hypersurfaces in a Critical Point Equation
대한수학회논문집
2005 .01
-
The structure of the regular level sets
대한수학회보
2011 .01
-
CURVATURES ON THE ABBENA-THURSTON MANIFOLD
호남수학학술지
2016 .01
-
SCALAR CURVATURES ON SU(3)/T(k, l)
호남수학학술지
2011 .01
-
Almost K\＂ahler deformation of scalar curvature
대한수학회논문집
2006 .01
-
On conformally flat polynomial $(\alpha,\beta)$-metrics with weakly isotropic scalar curvature
대한수학회지
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0