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Topic: Torus/Z2
Replies: 1   Last Post: Jul 1, 2011 7:49 AM

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Arkadiusz Jadczyk

Posts: 2
From: France
Registered: 6/30/11
Posted: Jun 30, 2011 5:45 AM
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I can't find the answer to the following simple question:

In R^4 I have a torus T:


The group Z_2 acts on this torus via the reflection F(x)=-x, x=(x1,x2,x3,x4)

What kind of a surface do we get by taking the quotient T/Z_2? Again torus? Sphere? Klein bottle? Something else? What would be the answer and to get it?


P.S. For the standard torus in R^3 and another action of Z_2 the answer is in an example in do Carmo book on differential geometry of surfaces.

Date Subject Author
Read Torus/Z2
Arkadiusz Jadczyk
Read Re: Torus/Z2
Arkadiusz Jadczyk

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