개인구독
소속 기관이 없으신 경우, 개인 정기구독을 하시면 저렴하게
논문을 무제한 열람 이용할 수 있어요.
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
In this paper, we study conformally flat ($\alpha,\beta$)-metrics in the form $F=\alpha(1+\sum_{j=1}^m a_j(\frac{\beta}{\alpha})^j)$ with $m\geq2$, where $\alpha$ is a Riemannian metric and $\beta$ is a 1-form on a smooth manifold $M$. We prove that if such conformally flat ($\alpha,\beta$)-metric $F$ is of weakly isotropic scalar curvature, then it must has zero scalar curvature. Moreover, if $a_{m-1} a_m\neq0$, then such metric is either locally Minkowskian or Riemannian.
목차
등록된 정보가 없습니다.
참고문헌 (16)
참고문헌 신청
H. Akbar-Zadeh / 1988 / Sur les espaces de Finsler a courbures sectionnelles constantes / Acad. Roy. Belg. Bull. Cl. Sci 74(10):281~322
D. Bao / 2000 / An Introduction to Riemann-Finsler Geometry / Springer-Verlag
G. Chen / 2013 / An important class of conformally at weak Einstein Finsler metrics / Internat. J. Math 24(1):15
G. Chen / 2015 / On conformally at (α; β)-metrics with constant ag curvature / Publ. Math. Debrecen 86(3-4):387~400
X. Cheng / 2009 / A class of Finsler metrics with isotropic S-curvature / Israel J. Math 169:317~340
D. Bao / 2000 / An Introduction to Riemann-Finsler Geometry / Springer-Verlag
G. Chen / 2013 / An important class of conformally at weak Einstein Finsler metrics / Internat. J. Math 24(1):15
G. Chen / 2015 / On conformally at (α; β)-metrics with constant ag curvature / Publ. Math. Debrecen 86(3-4):387~400
X. Cheng / 2009 / A class of Finsler metrics with isotropic S-curvature / Israel J. Math 169:317~340
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
On general $(\alpha,\beta)$-metrics with isotropic $E$-curvature
대한수학회지
2018 .01
-
Weakly Einstein critical point equation
대한수학회보
2016 .01
-
Some rigidity characterizations of Einstein metrics as critical points for quadratic curvature functionals
대한수학회보
2020 .01
-
Stability of total scalar curvature and the critical point equation
대한수학회보
2024 .01
-
Gradient Yamabe solitons with conformal vector field
대한수학회논문집
2021 .01
-
On conformal transformations between two almost regular $(\alpha,\beta)$-metrics
대한수학회보
2018 .01
-
On a class of locally projectively flat general (α, β)-metrics
대한수학회보
2017 .07
-
On a class of Finsler metrics with isotropic Berwald curvature
대한수학회보
2017 .01
-
On Semi C-Reducibility of General (alpha, beta) Finsler Metrics
Kyungpook Mathematical Journal
2019 .01
-
Deformation of Cartan curvature on Finsler manifolds
대한수학회보
2017 .01
-
CONFORMALLY FLAT NORMAL ALMOST CONTACT 3-MANIFOLDS
호남수학학술지
2016 .01
-
Rigidity theorems of some dually flat Finsler metrics and its applications
대한수학회보
2016 .01
-
CURVATURES ON THE ABBENA-THURSTON MANIFOLD
호남수학학술지
2016 .01
-
CLASSIFICATION OF THREE-DIMENSIONAL CONFORMALLY FLAT QUASI-PARA-SASAKIAN MANIFOLDS
호남수학학술지
2019 .01
-
Scalar curvature comparisons of level hypersurfaces of geodesic spheres
대한수학회보
2018 .01
-
On generalized weakly semi-conformally symmetric manifolds
대한수학회논문집
2021 .10
-
The existence of some metrics on Riemannian warped product manifolds with Fiber Manifold of Class (B)
한국수학논문집
2015 .01
-
On evolution of Finsler Ricci scalar
대한수학회지
2018 .01
-
On some classes of weakly $Z$-symmetric manifolds
대한수학회논문집
2020 .01
-
On the geometry of vector bundles with flat connections
대한수학회보
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0