Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2309.15429 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908620944310272 |
|---|---|
| author | Bhattacharyya, Arindam Ganguly, Dipen Ghosh, Paritosh Sarkar, Sumanjit |
| author_facet | Bhattacharyya, Arindam Ganguly, Dipen Ghosh, Paritosh Sarkar, Sumanjit |
| contents | In this paper the notion of quasi-isometry between two Riemannian manifolds has been introduced. This idea is also imposed to study quasi-isometry between two almost contact metric manifolds. Moving further, some curvature properties of two quasi-isometrically embedded almost contact metric manifolds, $N(k)-$contact metric manifolds and Sasakian manifolds are investigated. Next, an illustrative example of a quasi-isometry between two Sasakian structures is constructed. Finally, a relation between the scalar curvature and the quasi-isometric constants for two quasi-isometric Riemannian manifolds has been established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15429 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quasi-isometry between two almost contact metric manifolds Bhattacharyya, Arindam Ganguly, Dipen Ghosh, Paritosh Sarkar, Sumanjit Differential Geometry 28F65, 53C20, 53C25 In this paper the notion of quasi-isometry between two Riemannian manifolds has been introduced. This idea is also imposed to study quasi-isometry between two almost contact metric manifolds. Moving further, some curvature properties of two quasi-isometrically embedded almost contact metric manifolds, $N(k)-$contact metric manifolds and Sasakian manifolds are investigated. Next, an illustrative example of a quasi-isometry between two Sasakian structures is constructed. Finally, a relation between the scalar curvature and the quasi-isometric constants for two quasi-isometric Riemannian manifolds has been established. |
| title | Quasi-isometry between two almost contact metric manifolds |
| topic | Differential Geometry 28F65, 53C20, 53C25 |
| url | https://arxiv.org/abs/2309.15429 |