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Homotopic embeddings of infinite-dimensional Hilbert Manifolds into Poincaré complexes | ||
| Journal of Hyperstructures | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 شهریور 1404 اصل مقاله (1.6 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.15968.1048 | ||
| نویسندگان | ||
| JEYANTHI V1؛ MADHAN V* 2 | ||
| 11Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore, India | ||
| 22Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore, India, | ||
| چکیده | ||
| This manuscript explores the Homotopic embedding of infinite-dimensional Hilbert manifolds into Poincaré complexes, emphasizing the preservation of necessary geometric properties such as curvature and Ricci-flatness. The exploration of infinite-dimensional Hilbert manifolds and their embeddings into Poincaré complexes has opened up new pathways in the fields of functional analysis, algebraic topology, and differential geometry. Recent studies emphasize the preservation of geometric features such as curvature and Ricci-flatness, which have greatly enriched the understanding of symplectic geometry and topological properties of manifolds. | ||
| کلیدواژه‌ها | ||
| Hilbert Manifold؛ Poincaré Complexes؛ Kähler | ||
| مراجع | ||
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