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Nov 14, 2021 at 20:16 comment added Dave L Renfro although the vast majority of the items in that bibliography will not be appropriate, but a handful of the later publications might be appropriate (being elementary expositions). Pretty much anything listed there is probably freely available online at google-books (just google the title, sometimes without using quotes due to .pdf character misreads; sometimes restricting the search to plus/minus two or three years of the publication date works better). Also, these Mathematics Teachers articles.
Nov 14, 2021 at 20:06 comment added Dave L Renfro I am a first year undergrad --- Your use of "research topic" is probably different than what is commonly understood here, as I suspect what you are to do is to learn about some topic and write an extended essay on it. Maybe something suitable can be found in Non-Euclidean Geometry by Manning (1901; reprinted with title change by Dover Publications in 1963). Also you might want to look through Bibliography of Non-Euclidean Geometry by Sommerville (1911), (continued)
Nov 14, 2021 at 19:27 history edited Wigner's Friend CC BY-SA 4.0
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Nov 14, 2021 at 14:30 history closed Alexandre Eremenko
Moishe Kohan
Yemon Choi
Jeremy Rickard
Carl-Fredrik Nyberg Brodda
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Nov 14, 2021 at 4:34 comment added Anton Petrunin @BenoîtKloeckner in the standard terminology is non-euclidean geometry is a geometry that like euclidean, but not euclidean.
Nov 13, 2021 at 22:49 comment added Benoît Kloeckner @AntonPetrunin then terminology differs between people: I do consider Riemannian geometry as non-Euclidean. Do you restrict the word to constant curvature? To homogeneous spaces? In any case, the question cannot really be answered as is.
Nov 13, 2021 at 18:19 comment added Anton Petrunin You made wrong tags to the question, so it is misunderstood by many.
Nov 13, 2021 at 18:12 comment added Anton Petrunin @BenoîtKloeckner If geometry is not euclidean, it does not mean that it is non-euclidean. For example, Riemannian geometry is not considered to be non-euclidian.
Nov 13, 2021 at 13:57 review Close votes
Nov 14, 2021 at 14:30
Nov 13, 2021 at 8:42 comment added Benoît Kloeckner This question seems incredibly broad. Basically all Riemannian geometry is about non-Euclidean geometry, it is a whole field with hundreds of active researchers and hundreds of questions. Maybe you could say a little more about what you seek, for what purpose, to make the question answerable, but in any case it might still be deemed unsuitable for MO.
S Nov 13, 2021 at 7:08 review First questions
Nov 13, 2021 at 8:09
S Nov 13, 2021 at 7:08 history asked Wigner's Friend CC BY-SA 4.0