Dr. Fazilet Erkekoğlu

(Professor of Geometry)

Phone: +90 312 297 7875 (7850 / 126), Office: 230

E-Mail: fazilet@hacettepe.edu.tr

Research Interests:
Differential Geometry, Global Analysis, Relativity Theory.
Publications

Research Papers:

  1. F. Erkekoğlu, “ A View on Sufficient Conditions for Geodesic Completeness of Nondegenerate Hypersurfaces in Lorentzian Geometry ”, (submitted).

  2. F. Erkekoğlu, “ A Survey on Geodesic Completeness of Nondegenerate Submanifolds in Semi-Riemannian Geometry ”, IJGMMP, Volume: 8, Issue: 5 (2011) pp. 985-1005. Indexed in SCI Expanded ( Science Citation Index Expanded)

  3. F. Erkekoğlu, “ On Geodesic Completeness of Non-degenerate Submanifolds in Semi-Euclidian Spaces ”, Journal of Nonlinear Mathematical Physics, 16 (2) (2009), 161-168. Indexed in SCI Expanded ( Science Citation Index Expanded)

  4. F. Erkekoğlu, “ Degenerate Hermitian Manifolds ”, Mathematical Physics, Analysis and Geometry, 8 (4) ( 2006 ), 361-388. Indexed in SCI Expanded ( Science Citation Index Expanded)

  5. F. Erkekoğlu, D.N. Küpeli and B. Ünal, “ Some Results Related to the Laplacian on Vector Fields ”, Publ. Math. Debrecen, 69 (1-2) ( 2006 ), 137-154 . Indexed in SCI Expanded ( Science Citation Index Expanded )

  6. F. Erkekoğlu, “ Conjugate Points in Indefinite Complex Space Forms ”, Demonstratio Mathematica, Vol. XXXIX No 3, ( 2006 ), 643-648. Indexed in Zentralblatt Math

  7. F. Erkekoğlu, “ On Null Isotropy in Spacetimes ”, General Relativity and Gravitation, 37 (12) ( 2005) ,1985-1993. Indexed in SCI ( Science Citation Index )

  8. F.Erkekoğlu,“ On Special Cases of Local Mobius Equations ”, Publ. Math. Debrecen., 67(1-2)( 2005 ), 155-167. Indexed in SCI Expanded (Science Citation Index Expanded )

  9. F. Erkekoğlu, “On a Local Möbius Equation Related to the Second Equation of Obata”, Toyama Math. .J. Vol. 28 ( 2005 ), 81-92. Indexed in Zentralblatt Math

  10. F. Erkekoğlu, “ On the Topology of the Space Y^X/~”, TENSOR N.S. Vol. 65 No.1 ( 2004 ) pp. 8-12. Indexed in Zentralblatt Math

  11. F. Erkekoğlu, E. Garcia-Rio and D.N. Küpeli, “ On Level Sets of Lorentzian Distance Function ”, General Relativity and Gravitation, 35 ( 9 ) ( 2003 ), 1597-1615. Indexed in SCI ( Science Citation Index )

  12. F. Erkekoğlu, E. Garcia-Rio, D.N. Küpeli and B. Ünal, “ Characterizing Specific Riemannian Manifolds by Differential Equations ”, Acta Applicandae Mathematicae, 76 ( 2 ) ( 2003 ), 195-219. Indexed in SCI ( Science Citation Index )

  13. F. Erkekoğlu, “D-Lines on the Surfaces of Parallel Mean Curvature in Four Dimensional Manifolds of Constant Curvature ”, TENSOR N. S. Vol.62 No.3 ( 2000 ) pp. 229-243. Indexed in Zentralblatt Math

  14. F Erkekoğlu, “ G-Lines on the Surfaces of Parallel Mean Curvature in Arbitrary Dimensional Manifolds of Constant Mean Curvature ”, TENSOR N.S. VOL 61 ( 1999 ) pp. 27-40. Indexed in Zentralblatt Math

  15. F. Erkekoğlu, “ A Generalisation of the Darboux Function ”, TENSOR N.S. VOL. 58 ( 1997 ) pp. 101-107. Indexed in Zentralblatt Math

  16. F. Erkekoğlu, “ On Darboux Function ”, Hacettepe Bulletin of Natural Sciences and Engineering, ( 1997 ) / Volume 26 / pp. 47-56 Indexed in Zentralblatt Math 

  17. F. Erkekoğlu, “ D-Lines on the Surfaces if Parallel Mean Curvature in Arbitrary Dimensional Manifolds of Constant curvature ”, Istanbul Univ. Fen Fak. Mat. Dergisi, 55-56, ( 1996-1997 ). Indexed in Zentralblatt Math

  18. F. Erkekoğlu, H.H. Hacısalihoğlu, “ G-Lines on the surfaces of Parallel Mean Curvature in Four Dimensional Manifolds of Constant Curvature ”. Tr. J. of Mathematics, 19 ( 1995 ) 223-238. Indexed in Zentralblatt Math

  19. F. Erkekoğlu, H.H.Hacısalihoğlu, “ Surfaces of Parallel Mean Curvature in Arbitrary Dimensional Manifolds of Constant Curvature”, STUD. CERC. MAT., TOM 46, NR. 3 P. 387-391, BUCURESTI ( 1994 ). Indexed in Zentralblatt Math

  20. F. Erkekoğlu, H.H.Hacısalihoğlu, “ Surfaces of Parallel Mean Curvature in Four Dimensional Manifolds of Constant Curvature ”, Commun. Fac. Sci. Univ. Ank. Series A, V. 276 pp. 31-38 ( 1993 ). Indexed in Zentralblatt Math

Conferences and Meetings
  • 14. Österreichischer Matematikerkongress, 22-26 September, 1997, Salzburg.
  • Türk Matematik Derneği IX. Ulusal Sempozyumu, 2-6 Eylül, 1996, Istanbul.
  • Türk Matematik Derneği X. Ulusal Sempozyumu, 1-5 Eylül, 1997, Bolu.
Courses Given

Analytic Geometry,
Differential Geometry.

Thesis Supervised
  • Fatmagül Mintaş, Hacettepe Üniversitesi, 2002.
Hacettepe University Department of Mathematics
06800 Beytepe Ankara TURKEY