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Finiteness of fundamental groups in extended complete Einstein-type manifolds | ||
| AUT Journal of Mathematics and Computing | ||
| دوره 7، شماره 1، فروردین 2026، صفحه 69-75 اصل مقاله (395.79 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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