논문KCI 등재
BERWALD AND DOUGLAS SPACES OF A FINSLER SPACE WITH AN EXPONENTIAL FORM OF (α, β)-METRIC
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In the present paper, we have undertaken a study of Berwald space and Douglas space in a Finsler space with exponential form of (α, β)-metric. We have examined the conditions under which this metric will be a Berwald and Douglas space.
Abstract
In the present paper, we have undertaken a study of Berwald space and Douglas space in a Finsler space with exponential form of (α, β)-metric. We have examined the conditions under which this metric will be a Berwald and Douglas space.
참고문헌 (17)
- P. L. Antonelli, "The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology" (1993), Kluwer Academic Publishers
- S. Bacso, "Projective changes between Finsler space with (; )-metric", Tensor, N. S, 55, pp.252~257 (1994)
- S. Bacso, "On the Finsler spaces of Douglas type. A generalization of the notion of Berwald space", Publ. Math. Debrecen, 51, pp.385~406 (1997)
- L. Berwald, "Parallel-ubertragung in allgemeinen R-aumen", Atti Congr. Intern. Mat. Bologna, 4, pp.263~270 (1928)
- P. Kumar, "Finsler spaces with some special(;)metric of Douglas type", Malaya J. Math, 7, pp.132~137 (2019)[DOI]
- I. Y. Lee, "Finsler spaces with innite series(;)-metric", J. Korean Math. Soc, 41(3), pp.567~589 (2004)[DOI]
- I. Y. Lee, "On Weakly-Berwald spaces of special(;)-metric", Bull. Korean Math. Soc, 43(2), pp.425~441 (2006)[DOI]
- M. Matsumoto, "Theory of Finsler spaces with(;)-metric", Rep. Math. Phys, 31, pp.43~83 (1992)[DOI]
- M. Matsumoto, "A slope of Mountain is a Finsler surface with respect to time measure", J. Math. Kyoto Univ, 29(1), pp.17~25 (1989)[DOI]
- M. Matsumoto, "Foundations of Finsler Geometry and Special Finsler spaces" (1986), Kaiseisha Press
- M. Matsumoto, "The Berwald connection of a Finsler space with an (; )-metric", Tensor, N. S, 50, pp.18~21 (1991)
- M. Matsumoto, "Finsler spaces with (; )-metric of Douglas type", Tensor, N. S, 60, pp.123~134 (1998)
- H. S. Park, "Finsler spaces with an approximate Matsumoto metric of Douglas type", Comm. Korean Math. Soc, 14, pp.535~544 (1999)
- Z. Shen, "On a Class of Projectively Flat metrics with Constant Flag Curvature", Can. J. Math, 60, pp.443~456 (2008)[DOI]
- B. K. Tripathi, "Hypersurfaces of a Finsler Space with Exponential form of (; )-Metric", Annals of the University of Craivo Mathematics and Computer Science Series, 47(1), pp.132~140 (2020)
- B. K. Tripathi, "On Weakly Berwald Space with a Special Cubic (; )-Metric", Surv. Math. Appl, 18, pp.1~11 (2023)
- B. K. Tripathi, "Douglas Spaces For Some(;)-Metric of a Finsler Space", J. Adv. Math. Stud, 15(4), pp.444~455 (2022)
관련 논문AI추천
Finslerian Hypersurface and Generalized beta-Conformal Change of Finsler MetricAnamika Rai, Shiv Kumar Tiwari경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제4호Projective Change between Two Finsler Spaces with (α,β)-metricNarasimhamurthy Senajji Kampalappa, Vasantha Dogehalli Mylarappa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제1호On the class of complex Douglas-Kropina spacesGheorghe Munteanu, Nicoleta Aldea대한수학회 · 대한수학회보2018 · 제55권 제1호On a Finsler space with $(\alpha , \beta )$-metric and certain metrical non-linear connection김병두, 박하용, 박홍서대한수학회 · 대한수학회논문집2006 · 제21권 제1호ON PROJECTIVELY FLAT FINSLER SPACE WITH AN APPROXIMATE INFINITE SERIES (α, β)-METRIC이일룡영남수학회 · East Asian Mathematical Journal2012 · 제28권 제1호On Semi C-Reducibility of General (alpha, beta) Finsler MetricsBankteshwar Tiwari, Ghanashyam Kr. Prajapati, Ranadip Gangopadhyay경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제2호
이 간행물의 다른 논문 (18건)
ON CLASSES OF INDEFINITE β-KENMOTSU STATISTICAL MANIFOLDJasleen Kaur Virdi, Shagun Bhattipp. 593-614Fixed point in Banach *-algebras with an application to functional integral equation of fractional orderGoutam Das, Nilakshi Goswamipp. 615-628A note on four dimensional summability methodsMedine Yesilkayagil Savascıpp. 629-637Egodic shadowable points and uniform limits이현희, 구남집pp. 639-646A new study on Simpson's type inequalities via generalized convexity with applicationMaimoona Karim, Ather Qayyum, Aliya Fahmi, Siti Suzlin Supadipp. 647-659
