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Mohammadalipour, Ayoub, Bidabad, Behroz, Yar Ahmadi, Mohamad. (1404). Finiteness of fundamental groups in extended complete Einstein-type manifolds. نشریه مهندسی عمران امیرکبیر, (), -. doi: 10.22060/ajmc.2025.23648.1278
Ayoub Mohammadalipour; Behroz Bidabad; Mohamad Yar Ahmadi. "Finiteness of fundamental groups in extended complete Einstein-type manifolds". نشریه مهندسی عمران امیرکبیر, , , 1404, -. doi: 10.22060/ajmc.2025.23648.1278
Mohammadalipour, Ayoub, Bidabad, Behroz, Yar Ahmadi, Mohamad. (1404). 'Finiteness of fundamental groups in extended complete Einstein-type manifolds', نشریه مهندسی عمران امیرکبیر, (), pp. -. doi: 10.22060/ajmc.2025.23648.1278
Mohammadalipour, Ayoub, Bidabad, Behroz, Yar Ahmadi, Mohamad. Finiteness of fundamental groups in extended complete Einstein-type manifolds. نشریه مهندسی عمران امیرکبیر, 1404; (): -. doi: 10.22060/ajmc.2025.23648.1278

Finiteness of fundamental groups in extended complete Einstein-type manifolds

AUT Journal of Mathematics and Computing
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 آذر 1404
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23648.1278
نویسندگان
Ayoub Mohammadalipour1؛ Behroz Bidabad* 2؛ Mohamad Yar Ahmadi3
1Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran
2Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic)
3Department of Mathematics, Faculty of the Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran
چکیده
Here, an extension of the complete non-compact Einstein-type manifolds is studied and shows that it has a finite fundamental group. This paper generalizes Wylie's results to the setting of extended Einstein-type manifolds for certain parameters. Some direct corollaries of this result are also pointed out. For instance, the sphere bundle $SM$ has a finite fundamental group. These findings not only generalize previous results but also offer new insights into the applications of Einstein-type manifolds across mathematics and physics, particularly in the structure of associated bundles and the behavior of geometric flows.
کلیدواژه‌ها
Fundamental group؛ Einstein-type manifold؛ Quasi-Einstein؛ De Rham cohomology
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