Bulletin of the Belgian Mathematical Society - Simon Stevin

Span of Dold Manifolds

Peter Novotný

Source: Bull. Belg. Math. Soc. Simon Stevin Volume 15, Number 4 (2008), 687-698.

Abstract

We study span and stable span of Dold manifolds $P(m,n)$. We present several lower and upper bounds for these invariants, and for some pairs $(m,n)$, we determine the exact values of span or stable span. In the case $P(m,1)$, $m\not\equiv15\pmod{16}$, we show how the maximum number of everywhere linearly independent vector fields can be constructed.

Primary Subjects: 57R25
Secondary Subjects: 55S40, 57R20

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Permanent link to this document: http://projecteuclid.org/euclid.bbms/1225893948


2010 © The Belgian Mathematic Society

Bulletin of the Belgian Mathematical Society - Simon Stevin

Bulletin of the Belgian Mathematical Society - Simon Stevin