Andrica DORIN

7962

An application of the fibration theorem of Ehresmann

An application of the fibration theorem of Ehresmann

The main purpose of the paper is to prove that the map (7) and also its restriction to GL+ (n, IR) is a locaily trivial fibration. From the general theory of fiber bundles we know th a t a bu.ndle map between two C “ -differentiable manifolds is a surjeetive submersion. Here arise a natural problem: given M and N two C00— differentiable manifolds and f: M -> N a smooth surjeetive submersion, find suffi- cient conditions in order th a t f be a locaily trivial fibration. A such condition is given by:
Keywords:

application, fibration Ehresmann,

PDF

___

  • Communications, Series A1:Mathematics and Statistics
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover
  • ISSN: 1303-5991
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 1948
  • Yayıncı: Ankara Üniversitesi
Arşiv
Sayıdaki Diğer Makaleler

On approximation of entire Harmonic functions in R n with index - pair (p ,q)

D. KUMAR

Note on the existences of F - perfect Morse functions on compact surfaces

Andrica DORIN

An application of the fibration theorem of Ehresmann

Andrica DORIN

Convex and starshaped subsets in manifolds product

M. BELTAGY

On the pair of generalized ruled surfaces under the symmetric homothetic motion of order k in the euclidean space En

Murat TOSUN

İsmail AYDEMİR

Three Lorentzian planes moving with respect to one another and pole points

Abdullah Aziz ERGİN

On the Conjugacy classes of p2 :GL2 (p)-"p ODD Prime"

Ali M. I. M. AL

Mehmet BARAN