Glasgow Mathematical Journal

Research Article

Product submanifolds with pointwise 3-planar normal sections

Kadri Arslana11 and Alan Westa2

a1 Uludağ Universitesi; Fen-Edebiyat Fakültesi, Matematik Bölümü, Görükle Kampüsü, Bursa, Turkey

a2 Department of Pure Mathematics, the University of Leeds Leeds, LS2 9JT, England

Let M be a smooth m-dimensional submanifold in (m + d)-dimensional Euclidean space xs211Dm+d For x xs220A M and a non-zero vector X in TXM, we define the (d + l)-dimensional affine subspace E(x, X) ofxs211Dm+d by

S001708950003041X_eqnU1

(Received June 21 1993)

Footnotes

1 The first author is supported by Uludağ University in Turkey.