Dr. Ayşe Altın

(Assoc. Prof. of Geometry)

Phone: +90 312 297 7878 (7850 / 134), Office: 248

E-Mail: ayse@hacettepe.edu.tr

Research Interests:
Semi-Riemannian Geometry, Lightlike Submanifods of Semi-Riemannian Manifolds.
Publications

Research Papers:

  1. Altın, A., "On the Energy and the Pseudo Angle of a Frenet Vectors Fields in IRn v ", Ukrainian Mathematical journal (ISI), Vol. 63, No 6, 833-839, (2011).
  2. Altın, A., Kabadayı, H. ve Sabuncuoğlu, A., "Lightlike Ruled and Revolution Surface in in IR3 1", Iranian Journal of Science and Technology Transaction A-Science (ISI), 34 A2, 95-101, (2010).
  3. A. ALTIN, On the Curvature of the Second Fundamental Form of Ruled Surfaces in 3-Dimensional Minkowski Spaces, International Journal of Mathematics Statistics (IJMS). Vol. 1, No.A07, p. 23-30, Autumn 2007.
  4. A. ALTIN, The Pitch and the Angle of Pitch of a Closed Piece of Ruled Surface in R(3,1), International Mathematics Forum, 2, , no:20, p. 973-980, 2007 .
  5. A. ALTIN, Harmonic curvatures of null curves and the null helix in R(m+2,1), International Matematical Forum, 2, no:22, p. 1069-1076, 2007.
  6. A. ALTIN, The Pitch and the Pseudo Angle of Pitch of a Closed Piece of (k+1)-Dimensional Ruled Surfacein R(n.v), Turkısh Journal of Mathematics, Vol:30, p. 1-7, 2006.
  7. A. ALTIN, Harmonic Curvatures of Non Null Curves and the Helix in R(n.v), Hacettepe Bulletin of Natural Science and Engineering Series B, Vol: 30, p. 55-61, 2001.
  8. A. ALTIN, A. TURGUT VANLI, The Pitch and the Angle of Pitch of a Closed Nonnull Ruled Hypersurface Whos generator is Spacelike in R(r+2, 1),Turkısh Journal of Mathematics, Vol:24 number:4, p. 327-334, 2000.
  9. A. ALTIN, On the Gauss Map of Surfaces of Revolution in IR(3-1), Bulletin Institute of Mathematics, Academia Sinica Vol:28, , no:2, p. 131-140, June 2000.
  10. A. ALTIN, Second Gausian curvature of Ruled Surfaces in 3-Dimensional Minkowski Space, Journal of the Ins.of Science and Technolojy, Gazi Uni. p. 537-541, 1999.
  11. A. ALTIN, The Angles Between serre-Frenet Frames of the Curves in Euclidian Space, J. Indian Academy of Mathematics Vol :21, no:1, p. 59-63, 1999.
  12. A. ALTIN, The Pitch and the Angle of Pitch of a Closed Ruled Surface of Dimension (k+1) in E(n), Hacettepe Bulletin of Natural Science and Engineering Series B, Vol: 25, p. 77-90, 1996.
Conferences and Meetings
  • 1st International Eurasian Conference on Mathematics Sciences and Applications (IECMSA), Prishtine, KOSOVO, 03-07 September 2012.
  • International Conference on Non-Euclidean Geometry and Applications 6th Bolyai-Gauss-Lobachevsky Conference. Debrecen, Hungary, 21-26 Aug, 2008.
  • Geometry and Topology of Low Dimensional Manifolds; A Satellite Conference of the Internation Congress of Mathematics, Madrid 2006.
  • Türk Matematik Derneği XV. Ulusal Matematik Sempozyumu Mersin 2002.
Proceedings
  • Altın, A., " The Frenet Apparatus of Null Curve and the Null Helix in IR1(k+2)", International Conference on Non-Euclidean Geometry and Applications; 6th Bolyai-Gauss-Lobachevsky Conference. (Debrecen - Hungary), 21-26 Aug, 2008. (to be published)
  • Altın, A., " Lightlike Ruled and Revolution Surfaces in IR13", Geometry and Topology of Low Dimensional Manifold. El Burgo de Osama (Madrid - Spain), 31 Aug-2 sept 2006. Abstracts (published)
Courses Given

Geometry

Analytic Geometry

Differential Geometry

Foundations of Geometry

Curves and Surfaces

Diverse Gemoetries

Riemann Geometry

Linear Algebra

Calculus

Research Methods, Computer Aided Mathematical Project

Thesis Supervised
  • Lorentz Uzayında Null Eğrilerin Geometrisi, 2004, MSc. Thesis.
  • Sonlu Tipte Eğriler ve Yüzeyler , 2002, PhD. Thesis.
Hacettepe University Department of Mathematics
06800 Beytepe Ankara TURKEY