The purpose of this note is to discuss examples of geometric transition from hyperbolic structures to half-pipe and Anti–de Sitter structures in dimensions two, three and four. As a warm-up, explicit examples of transition to Euclidean and spherical structures are presented. No new results appear here; nor an exhaustive treatment is aimed. On the other hand, details of some elementary computations are provided to explain certain techniques involved. This note, and in particular the last section, can also serve as an introduction to the ideas behind the four-dimensional construction of [19].
@article{TSG_2017-2019__35__163_0, author = {Seppi, Andrea}, title = {Examples of geometric transition in low dimensions}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {163--196}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {35}, year = {2017-2019}, doi = {10.5802/tsg.368}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/tsg.368/} }
TY - JOUR AU - Seppi, Andrea TI - Examples of geometric transition in low dimensions JO - Séminaire de théorie spectrale et géométrie PY - 2017-2019 SP - 163 EP - 196 VL - 35 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/tsg.368/ DO - 10.5802/tsg.368 LA - en ID - TSG_2017-2019__35__163_0 ER -
%0 Journal Article %A Seppi, Andrea %T Examples of geometric transition in low dimensions %J Séminaire de théorie spectrale et géométrie %D 2017-2019 %P 163-196 %V 35 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/articles/10.5802/tsg.368/ %R 10.5802/tsg.368 %G en %F TSG_2017-2019__35__163_0
Seppi, Andrea. Examples of geometric transition in low dimensions. Séminaire de théorie spectrale et géométrie, Tome 35 (2017-2019), pp. 163-196. doi : 10.5802/tsg.368. http://archive.numdam.org/articles/10.5802/tsg.368/
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