Immersions preserved under rotations with totally reducible focal set

EZENTAŞ R.

Turkish Journal of Mathematics, cilt.21, sa.4, ss.485-491, 1997 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 4
  • Basım Tarihi: 1997
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.485-491
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In [1] Carter and the author introduced the idea of an immersion f : M m → Rn with totally reducible focal set (TRFS). Such an immersion has the property that, for all p ∈ M, the focal set with base p is a union of hyperplanes in the normal plane to f(M) at f(p). Here we show that if we take two immersions with TRFS then we can construct new immersions with TRFS. In particular, rotating an immersion with TRFS about an axis gives a new immersion with TRFS. © TÜBİTAK.