caa a22 4500 38802366X CHVBK 20180307124931.0 cr unu---uuuuu 161130e199802 xx s 000 0 eng 10.1017/S0013091500019507 doi S0013091500019507 pii (NATIONALLICENCE)cambridge-10.1017/S0013091500019507 Pintea Cornel "Babeş-Bolyai” University, Department of Mathematics, Str. Kogălniceanu 1, 3400 CLUJ-NAPOCA, Romania E-mail: cpintea@math.ubbcluj.ro A measure of non-immersability of the Grassmann manifolds in some euclidean spaces [Elektronische Daten] [Cornel Pintea] Let Gk, n, be the Grassmann manifold consisting in all non-oriented k-dimensional vector subspaces of the space Rk+n. In this paper we will show that any differentiable mapping f: Gk, n → Rm, has infinitely many critical points for suitable choices of the numbers m, n, k. Copyright © Edinburgh Mathematical Society 1998 Proceedings of the Edinburgh Mathematical Society Cambridge University Press 41/1(1998-02), 197-205 0013-0915 41:1<197 1998 41 PEM https://doi.org/10.1017/S0013091500019507 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0013091500019507 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pintea Cornel "Babeş-Bolyai” University, Department of Mathematics, Str. Kogălniceanu 1, 3400 CLUJ-NAPOCA, Romania E-mail: cpintea@math.ubbcluj.ro NATIONALLICENCE 773 0- Proceedings of the Edinburgh Mathematical Society Cambridge University Press 41/1(1998-02), 197-205 0013-0915 41:1<197 1998 41 PEM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge