Finiteness of fundamental groups in extended complete Einstein-type manifolds

	Finiteness of fundamental groups in extended complete Einstein-type manifolds
AUT Journal of Mathematics and Computing
دوره 7، شماره 1، 2026، صفحه 69-75 اصل مقاله (395.78 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23648.1278
نویسندگان
Ayoub Mohammadalipour¹؛ Behroz Bidabad^* ¹؛ Mohamad Yar Ahmadi²
¹Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran
²Department 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
مراجع

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