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Topic: Can the Lobachevsky plane be embedded into R^3 ?
Replies: 26   Last Post: Mar 28, 2007 4:03 PM

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ksp4@msiu.ru

Posts: 2
Registered: 2/8/07
Can the Lobachevsky plane be embedded into R^3 ?
Posted: Mar 5, 2007 4:07 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Can the Lobachevsky plane be embedded into R^3 ?

(The Lobachevsky metric must be induced by the standard eucledean
metric in R^3).

I have heard that the answer is "no". If so, anybody knows what are
the main ideas of the proof?



Date Subject Author
3/5/07
Read Can the Lobachevsky plane be embedded into R^3 ?
ksp4@msiu.ru
3/6/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Hero
3/11/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Thomas Mautsch
3/12/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Hero
3/12/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Denis Feldmann
3/12/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Hero
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Hero
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Rainer Rosenthal
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Hero
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Denis Feldmann
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Rainer Rosenthal
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Hero
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
David Bernier
3/16/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Hero
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Denis Feldmann
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Rainer Rosenthal
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Hero
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Denis Feldmann
3/15/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
David Bernier
3/16/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
narasimham
3/17/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
narasimham
3/17/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
narasimham
3/17/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
narasimham
3/18/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Thomas Mautsch
3/28/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
narasimham
3/28/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?-
JEMebius
3/28/07
Read Re: Can the Lobachevsky plane be embedded into R^3 ?
Chan-Ho Suh

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