A flat Klein bottle isometrically embedded in euclidean 4-space
نویسندگان
چکیده
منابع مشابه
A Menger Redux: Embedding Metric Spaces Isometrically in Euclidean Space
We present geometric proofs of Menger’s results on isometrically embedding metric spaces in Euclidean space. In 1928, Karl Menger [6] published the proof of a beautiful characterization of those metric spaces that are isometrically embeddable in the ndimensional Euclidean space E. While a visitor at Harvard University and the Rice Institute in Houston during the 1930-31 academic year, Menger ga...
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It is a well-known fact that K is a genus 2 nonorientable closed surface with Euler characteristic χ = 0, which is topologically equivalent to a couple of Möbius bands glued together along the border, and that it is nonembeddable in R. It is possible, however, to immerse it in R, that is, to map it into R obtaining an image with no singular points. To give an immersion of K in R, it suffices to...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1941
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1941-07501-4