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.
이용수
초록· 키워드
오류제보하기
General $(\alpha,\beta)$-metrics form a rich class of Finsler metrics. They include many important Finsler metrics, such as Randers metrics, square metrics and spherically symmetric metrics. In this paper, we find equations which are necessary and sufficient conditions for such Finsler metric to be locally projectively flat. By solving these equations, we obtain all of locally projectively flat general $(\alpha,\beta)$-metrics under certain condition. Finally, we manufacture explicitly new locally projectively flat Finsler metrics.
목차
등록된 정보가 없습니다.
참고문헌 (18)
참고문헌 신청
S. B´acs´o / 1997 / On Finsler spaces of Douglas typea generalization of the notion of Berwald space / Publ. Math. Debrecen 51(3-4):385~406
S. S. Chern / 2005 / Riemann-Finsler geometry / World Scientific Publishing Co. Pte. Ltd. :192
J. Douglas / 1928 / The general geometry of paths / Ann. Math 29(1-4):143~168
B. Li / 2009 / On Randers metrics of quadratic Riemann curvature / Internat. J. Math 20(3):369~376
H. Liu / 2015 / Examples of Finsler metrics with special curvature properties / Math. Nachr 288(13):1527~1537
S. S. Chern / 2005 / Riemann-Finsler geometry / World Scientific Publishing Co. Pte. Ltd. :192
J. Douglas / 1928 / The general geometry of paths / Ann. Math 29(1-4):143~168
B. Li / 2009 / On Randers metrics of quadratic Riemann curvature / Internat. J. Math 20(3):369~376
H. Liu / 2015 / Examples of Finsler metrics with special curvature properties / Math. Nachr 288(13):1527~1537
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Dually flat and projectively flat Finsler warped product structures
대한수학회보
2022 .11
-
On general $(\alpha,\beta)$-metrics with isotropic $E$-curvature
대한수학회지
2018 .01
-
On Semi C-Reducibility of General (alpha, beta) Finsler Metrics
Kyungpook Mathematical Journal
2019 .01
-
Rigidity theorems of some dually flat Finsler metrics and its applications
대한수학회보
2016 .01
-
Finsler metrics with reversible geodesics
대한수학회보
2020 .01
-
ON GENERALIZED SUBWAY METRIC
Journal of applied mathematics & informatics
2018 .01
-
Conformal transformation of locally dually flat Finsler metrics
대한수학회보
2019 .01
-
On homogeneous square Einstein metrics
대한수학회보
2017 .01
-
SIMULATION FUNCTIONS OVER M-METRIC SPACES
East Asian Mathematical Journal
2017 .01
-
CLASSIFICATIONS OF METRIC FUNCTIONS ON THE PLANE
Journal of applied mathematics & informatics
2018 .01
-
On a class of Finsler metrics with isotropic Berwald curvature
대한수학회보
2017 .01
-
ON EXISTENCE AND DISTRIBUTION OF CONJUGATE POINTS IN FINSLER GEOMETRY
충청수학회지
2017 .01
-
On the class of complex Douglas-Kropina spaces
대한수학회보
2018 .01
-
SOME CLASSES OF 3-DIMENSIONAL NORMAL ALMOST PARACONTACT METRIC MANIFOLDS
호남수학학술지
2015 .01
-
Some remarks on Thurston metric and hyperbolic metric
대한수학회보
2016 .01
-
FIXED POINT THEOREMS IN S-METRIC SPACES
East Asian Mathematical Journal
2016 .01
-
VARIOUS NEW FIXED POINT RESULTS IN Gb METRIC SPACES
Proceedings of the Jangjeon Mathematical Society
2021 .10
-
On conformally flat polynomial $(\alpha,\beta)$-metrics with weakly isotropic scalar curvature
대한수학회지
2019 .01
-
SOME TOPOLOGICAL RESULTS AND A FIXED POINT THEOREM IN A-METRIC SPACES
Nonlinear Functional Analysis and Applications
2018 .09
-
A generalized Hurwitz metric
대한수학회보
2020 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0