آمار

تعداد نشریات31
تعداد شماره‌ها470
تعداد مقالات4,136
تعداد مشاهده مقاله6,905,830
تعداد دریافت فایل اصل مقاله4,656,113
Boye, Mouhamadou, Diallo, Abdoul, Mame, Mohamed. (1403). An example of conformally Osserman manifold. سامانه مدیریت نشریات علمی, 5(1), 25-33. doi: 10.22098/jfga.2024.14364.1111
Mouhamadou Abdoubekry Boye; Abdoul salam Diallo; Mohamed El Boukhary Mame. "An example of conformally Osserman manifold". سامانه مدیریت نشریات علمی, 5, 1, 1403, 25-33. doi: 10.22098/jfga.2024.14364.1111
Boye, Mouhamadou, Diallo, Abdoul, Mame, Mohamed. (1403). 'An example of conformally Osserman manifold', سامانه مدیریت نشریات علمی, 5(1), pp. 25-33. doi: 10.22098/jfga.2024.14364.1111
Boye, Mouhamadou, Diallo, Abdoul, Mame, Mohamed. An example of conformally Osserman manifold. سامانه مدیریت نشریات علمی, 1403; 5(1): 25-33. doi: 10.22098/jfga.2024.14364.1111

An example of conformally Osserman manifold

Journal of Finsler Geometry and its Applications
دوره 5، شماره 1، 2024، صفحه 25-33    اصل مقاله (285.11 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2024.14364.1111
نویسندگان
Mouhamadou Abdoubekry Boye1؛ Abdoul salam Diallo* 2؛ Mohamed El Boukhary Mame3
1DÉPARTEMENT DE MATHÉMATIQUES, UFR SATIC, UNIVERSITÉ ALIOUNE DIOP, Bamby, Senegal
2DÉPARTEMENT DE MATHÉMATIQUES, UFR SATIC, UNIVERSITÉ ALIOUNE DIOP, Bambey, Senegal
3DÉPARTEMENT DE MATHÉMATIQUES ET INFORMATIQUES, FST, UNIVERSITÉ DE NOUAKCHOTT, Akjoujt, Mauritanie
چکیده
In this paper, we investigate pseudo-Riemannian manifolds those eigenvalues of the Weyl conformal Jacobi operators are constant on the unit sphere bundles. Using a result of [4], we give an explicit construction of conformally Osserman manifold which is not locally conformally flat.
کلیدواژه‌ها
conformal Jacobi operator؛ conformally Osserman manifold؛ Weyl conformal curvature operator
مراجع
  • 1. N. Blaˇzi´c, Conformally Osserman Lorentzian manifolds, Kragujevac J. Math. 28 (2005),
    85-96.
  • 2. N. Blaˇzi´c and P. Gilkey, Conformally Osserman manifolds and conformally complex
    space forms, Int. J. Geom. Methods. Mod. Phys. 1 (2004), 97-106.
  • 3. N. Blaˇzi´c and P. Gilkey, Conformally Osserman manifolds and self-duality in Riemannian geometry, Differential Geometry and Its Application, 15-18, MATFYZPRESS,
    Prague, 2005.
  • 4. N. Blaˇzi´c, P. Gilkey, S. Nikcevi´c and U. Simon, The spectral geometry of the Weyl
    conformal tensor, Banach Center Publ. 69 (2005), 195-203.
  • 5. M. Brozos-V´azquez, E. Garc´ıa-R´ıo, and R. V´azquez-Lorenzo, Locally conformally flat
    multidimensional cosmological models and generalized Friedmann-Robertson-Walker
    spacetimes, J. Cosmol. Astropart. Phys.(2004), no.12, 008, 13 pp.
  • 6. M. Brozos-V´azquez, E. Garc´ıa-R´ıo, and R. V´azquez-Lorenzo, Complete locally conformally flat manifolds of negative curvature, Pacific J. Math. 226 (2006), no.2, 201-219.
  • 7. A. S. Diallo, Examples of conformally 2-nilpotent Osserman manifolds of signature (2, 2),
    Afr. Diaspora J. Math. 9 2010, no.1, 96-103.
  • 8. A. S. Diallo and M. Hassirou, Examples of Osserman metrics of (3, 3)-signature, J. Math.
    Sci. Adv. Appl. 7 (2011), (2), 95-103.
  • 9. A. S. Diallo, M. Hassirou and O. T. Issa, Walker Osserman metric of signature (3, 3),
    Bull. Math. Anal. Appl. 9 (2017), (4), 21-30.
  • 10. E. Garc´ıa-Rio, D. N. Kupeli and R. V´azquez-Lorenzo, Osserman manifolds in semiRiemannian, Lecture Notes in Mathematics 1777, Springer Verlag, Berlin, 2002.
  • 11. P. Gilkey, Geometric properties of natural operators defined by the Riemann curvature
    tensor, World Scientific Publishing Co., Inc., River Edge, NJ, 2001. ISBN: 981-02-4752-4.
  • 12. Y. Nikolayevsky, Conformally Osserman manifolds, Pacific J. Math. 245 (2010), no.2,
    315-358.
آمار
تعداد مشاهده مقاله: 265
تعداد دریافت فایل اصل مقاله: 361


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب