Middle East Technical University Mathematics Department Seminars

Slant geometry on spacelike submanifolds of codimension two
Handan Yıldırım
İstanbul University, Turkey
Özet : In this talk, we construct slant geometry on spacelike submanifolds of codimension two in Lorentz-Minkowski space, [5]. Thus, we generalize some of the results which were obtained in [2]. Moreover, we interpret the results which were given in [1], [3] and [4] as special cases of our results. Furthermore, we investigate spacelike curves in Lorentz Minkowski 3-space from different viewpoints as another special case.

References
[1] M. Asayama, S. Izumiya, A. Tamaoki and H. Yıldırım, Slant geometry of spacelike hypersurfaces in Hyperbolic space and de Sitter space, Revista Matem´atica Iberoamericana, 28(2) (2012), 371-400.
[2] S. Izumiya and M. C. Romero Fuster, The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space, Selecta Mathematica New Series, 13 (2007), 23-55.
[3] S. Izumiya and H. Yıldırım, Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space, Topology and its Applications, 159 (2012), 509-518.
[4] S. Izumiya and H. Yıldırım, Slant geometry of spacelike hypersurfaces in the lightcone, J. Math. Soc. Japan, 63 (3) (2011), 715-752.
[5] S. Izumiya and H. Yıldırım, Slant geometry on spacelike submanifolds of codimension two in Lorentz-Minkowski Space, Journal of Geometry and Physics 98 (2015), 160–180
  Tarih : 18.05.2017
  Saat : 15:40
  Yer : Gündüz İkeda Room
  Dil : English
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