آمار

تعداد نشریات30
تعداد شماره‌ها426
تعداد مقالات3,753
تعداد مشاهده مقاله5,904,114
تعداد دریافت فایل اصل مقاله4,096,070
Degla, Serge, Nibaruta, Gilbert, Todjihounde, Léonard. (1404). Finslerian metrics locally conformally R-Einstein. سامانه مدیریت نشریات علمی, 6(2), 147-169. doi: 10.22098/jfga.2025.17608.1162
Serge Degla; Gilbert Nibaruta; Léonard Todjihounde. "Finslerian metrics locally conformally R-Einstein". سامانه مدیریت نشریات علمی, 6, 2, 1404, 147-169. doi: 10.22098/jfga.2025.17608.1162
Degla, Serge, Nibaruta, Gilbert, Todjihounde, Léonard. (1404). 'Finslerian metrics locally conformally R-Einstein', سامانه مدیریت نشریات علمی, 6(2), pp. 147-169. doi: 10.22098/jfga.2025.17608.1162
Degla, Serge, Nibaruta, Gilbert, Todjihounde, Léonard. Finslerian metrics locally conformally R-Einstein. سامانه مدیریت نشریات علمی, 1404; 6(2): 147-169. doi: 10.22098/jfga.2025.17608.1162

Finslerian metrics locally conformally R-Einstein

Journal of Finsler Geometry and its Applications
دوره 6، شماره 2، اسفند 2025، صفحه 147-169    اصل مقاله (408.06 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.17608.1162
نویسندگان
Serge Degla1؛ Gilbert Nibaruta* 2؛ Léonard Todjihounde3
1Filiere de Mathematiques et informatique, Ecole Normale Sup´erieure de Natitingou, Benin
2Section de Mathématiques, Ecole Normale Supérieure du Burundi, Bujumbura, Burundi
3Institut de Mathématiques et de Sciences Physiques, Centre d'Excellence, Porto-Novo, Bénin
چکیده
Let R be the hh-curvature associated with the Chern connection or the Cartan connection. Adopting the pulled-back tangent bundle approach to the Finslerian Geometry, an intrinsic characterization of R-Einstein metrics is given. Finslerian metrics which are locally conformally R-Einstein are classified
کلیدواژه‌ها
Einstein metrics؛ Conformal deformations؛ Finslerian metrics؛ Ricci tensor؛ Warped product metric
مراجع
 1. P. L. Antonelli, R. S. Ingarden and M. Matsumoto, The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology, Kluwer Academic Publishers, Dordrecht, 1993.
2. D. Bao, S.-S. Chern, and Z. Shen, An introduction to Riemann-Finsler Geometry, Springer-Verlang New York, (2000), 1-192.
3. D. Bao and C. Robles, Ricci and Flag Curvatures in Finsler Geometry, MSRI Publications, 50 (2004).
4. A. L. Besse, Einstein Manifolds, Springer-Verlag Berlin Heidelberg, (1987), 1-528.
5. H. W. Brinkmann, Riemann spaces conformal to Einstein spaces, Proc. Nat. Acad. Sci.USA, 9 (1923), 172-174.
6. C. N. Kozameh, E. T. Newman and K. P. Tod, Conformal Einstein Spaces, Gen. Rel.and Grav., 17 (1985), 343-344.
7. M. Listing, Conformal Einstein Spaces in N-dimensions, Ann. Glob. Anal. Geom.,20(2001), 183-197.
8. F. Massamba and J. S. Mbatakou, Induced and intrinsic Hashiguchi connections on Finsler submanifolds, Balkan J. Geom. Appl., 22(2) (2017), 50-62.
9. J.-S. Mbatakou, Intrinsic proofs of the existence of generalized Finsler connections, Int.Electron. J. Geom., 8, 1 (2015), 1-13.
10. G. Nibaruta, S. Degla and L. Todjihounde, Prescribed Ricci tensor in Finslerian conformal class, Balkan J. Geom. Appl., 23, 2 (2018), 41-55.
11. G. Nibaruta, S. Degla and L. Todjihounde, Finslerian Ricci Deformation and Conformal Metrics, J. Appl. Math. Phys., 6 (2018), 1522-1536.
12. W. K¨uhnel and H.-B. Rademacher, Conformally Einstein product spaces, E-print 2016,1-35.
13. Y.-B. Shen and Z. Shen, Introduction to Modern Finsler Geometry, Higher Education Press Limited Company and World Scientific Publishing Co. Pte. Ltd. (2016), 1-58.
14. P. Szekeres, Spaces Conformal to a Class of Spaces in General Gelativity, Proc. Roy. Soc. London, Ser. A., 274 (1963), 206-212. 

آمار
تعداد مشاهده مقاله: 42
تعداد دریافت فایل اصل مقاله: 45


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب