본문 바로가기
KERD
논문KCI 등재

Dually flat and projectively flat Finsler warped product structures

Xiaoling Zhang|Xuesong Zhang|Lili Zhao
대한수학회 (The Korean Mathematical Society)|2022.11|대한수학회보 (Bulletin of the KMS)|제59권 제6호|pp. 1359-1370|DOI 10.4134/BKMS.b210760

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

projectively flatFinsler warped product metricdually flat
주제분류수학

초록

In this paper, we study the Finsler warped product metric which is dually flat or projectively flat. The local structures of these metrics are completely determined. Some examples are presented.

Abstract

In this paper, we study the Finsler warped product metric which is dually flat or projectively flat. The local structures of these metrics are completely determined. Some examples are presented.

참고문헌 (18)

  1. R. L. Bishop, "Manifolds of negative curvature", Trans. Amer. Math. Soc, 145, pp.1~49 (1969)[DOI]
  2. B. Chen, "Constructions of Einstein Finsler metrics by warped product", Internat. J. Math, 29(11), pp.15~ (2018)[DOI]
  3. X. Cheng, "Projectively flat Finsler metrics with almost isotropic Scurvature", Acta Math. Sci. Ser. B(Engl. Ed.), 26(2), pp.307~313 (2006)[DOI]
  4. G. Cretu, "New classes of projectively related Finsler metrics of constant flag curvature", Int. J. Geom. Methods Mod. Phys, 17(5), pp.22~ (2020)[DOI]
  5. Y. He, "Doubly warped product of Hermitian manifolds", Acta Math. Sinica(Chinese Ser.), 61(5), pp.835~842 (2018)
  6. Y. He, "On unitary invariant strongly pseudoconvex complex Landsberg metrics", J. Math. Study, 49(1), pp.13~22 (2016)[DOI]
  7. L. Huang, "On some explicit constructions of dually flat Finsler metrics", J. Math. Anal. Appl, 405(2), pp.565~573 (2013)[DOI]
  8. L. Kozma, "Warped product of Finsler manifolds", Ann. Univ. Sci. Budapest. Eotvos Sect. Math, 44, pp.157~170 (2001)
  9. B. Li, "On dually flat Finsler metrics", Differential Geom. Appl, 31(6), pp.718~724 (2013)[DOI]
  10. B. Li, "On the classification of projectively flat Finsler metrics with constant flag curvature", Adv. Math, 257, pp.266~284 (2014)[DOI]
  11. H. Liu, "Finsler warped product metrics of Douglas type", Canad. Math. Bull, 62(1), pp.119~130 (2019)[DOI]
  12. H. Liu, "On projectively flat Finsler warped product metrics of constant flag curvature", J. Geom. Anal, 31(11), pp.11471~11492 (2021)[DOI]
  13. H. Liu, "Finsler warped product metrics with special Riemannian curvature properties", Sci. China Math, 63(7), pp.1391~1408 (2020)[DOI]
  14. Z. Shen, "Projectively flat Finsler metrics of constant flag curvature", Trans. Amer. Math. Soc, 355(4), pp.1713~1728 (2003)[DOI]
  15. Z. Shen, "Riemann-Finsler geometry with applications to information geometry", Chinese Ann. Math. Ser. B, 27(1), pp.73~94 (2006)[DOI]
  16. Q. Xia, "On locally dually flat (α, β)-metrics", Differential Geom. Appl, 29(2), pp.233~243 (2011)[DOI]
  17. Z. Yang, "Finsler warped product metrics with relatively isotropic Landsberg curvature", Canad. Math. Bull, 64(1), pp.182~191 (2021)[DOI]
  18. C. Yu, "On dually flat general (α, β)-metrics", Differential Geom. Appl, 40, pp.111~122 (2015)[DOI]

관련 논문AI추천

ISOTROPIC MEAN BERWALD FINSLER WARPED PRODUCT METRICSBahman Rezaei, Esra Sengelen Sevim, Mehran Gabrani대한수학회 · 대한수학회보2023 · 제60권 제6호Projectively flat Finsler spaces with certain $(\alpha, \beta)$-metrics김병두, 박하용, 박홍서, 최은서대한수학회 · 대한수학회보2003 · 제40권 제4호On the Characterization of Conformally Flat Weakly Einstein Finsler MetricsGauree Shanker, Seema Jangir경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제4호On a class of locally projectively flat general (α, β)-metricsHongmei Zhu, Xiaohuan Mo대한수학회 · 대한수학회보2017 · 제54권 제4호On a class of Finsler metrics with isotropic Berwald curvatureHongmei Zhu대한수학회 · 대한수학회보2017 · 제54권 제2호Nonconstant warping functions on Einstein warped product manifolds with $2-$dimensional base이수영강원경기수학회 · 한국수학논문집2018 · 제26권 제1호

이 간행물의 다른 논문 (16건)

Some new classes of zero-difference balanced functions and related constant composition codesSankhadip Roypp. 1327-1337Some remarks on problems of subset sumHongwei Xu, Min Tangpp. 1339-1348An associated sequence of ideals of an increasing sequence of ringsAbdelamir Dabbabi, Ali Benhissipp. 1349-1357Lipschitz type characterization of Fock type spaces조홍래, 하정민pp. 1371-1385On weakly $S$-prime submodulesEce Yetkin Celikel, Hani A. Khashanpp. 1387-1408
원문 보기