Conformal Vector Fields, Ricci Solitons and Related Topics
This book provides an up-to-date introduction to the theory of manifolds, submanifolds, semi-Riemannian geometry and warped product geometry, and their applications in geometry and physics. It then explores the properties of conformal vector fields and conformal transformations, including their fixe...
Furkejuvvon:
| Váldodahkkit: | , |
|---|---|
| Searvvušdahkki: | |
| Materiálatiipa: | Elektrovnnalaš E-girji |
| Giella: | eaŋgalasgiella |
| Almmustuhtton: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2024.
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| Preanttus: | 1st ed. 2024. |
| Ráidu: | Infosys Science Foundation Series in Mathematical Sciences,
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| Fáttát: | |
| Liŋkkat: | https://doi.org/10.1007/978-981-99-9258-4 |
| Fáddágilkorat: |
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| LEADER | 00000nam a22000005i 4500 | ||
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| 024 | 7 | |a 10.1007/978-981-99-9258-4 |2 doi | |
| 050 | 4 | |a QA614-614.97 | |
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| 082 | 0 | 4 | |a 514.74 |2 23 |
| 100 | 1 | |a Sharma, Ramesh. |e author. |0 (orcid)0000-0001-5026-8564 |1 https://orcid.org/0000-0001-5026-8564 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Conformal Vector Fields, Ricci Solitons and Related Topics |h [electronic resource] / |c by Ramesh Sharma, Sharief Deshmukh. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Singapore : |b Springer Nature Singapore : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (XI, 158 p. 1 illus.). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Infosys Science Foundation Series in Mathematical Sciences, |x 2364-4044 | |
| 505 | 0 | |a 1 Manifolds and Submanifolds Reviewed -- 2 Lie Group And Lie Derivative -- 3 Conformal Transformations -- 4 Conformal Vector Fields -- 5 Integral Formulas And Conformal Vector Fields. | |
| 520 | |a This book provides an up-to-date introduction to the theory of manifolds, submanifolds, semi-Riemannian geometry and warped product geometry, and their applications in geometry and physics. It then explores the properties of conformal vector fields and conformal transformations, including their fixed points, essentiality and the Lichnerowicz conjecture. Later chapters focus on the study of conformal vector fields on special Riemannian and Lorentzian manifolds, with a special emphasis on general relativistic spacetimes and the evolution of conformal vector fields in terms of initial data. The book also delves into the realm of Ricci flow and Ricci solitons, starting with motivations and basic results and moving on to more advanced topics within the framework of Riemannian geometry. The main emphasis of the book is on the interplay between conformal vector fields and Ricci solitons, and their applications in contact geometry. The book highlights the fact that Nil-solitons and Sol-solitons naturally arise in the study of Ricci solitons in contact geometry. Finally, the book gives a comprehensive overview of generalized quasi-Einstein structures and Yamabe solitons and their roles in contact geometry. It would serve as a valuable resource for graduate students and researchers in mathematics and physics as well as those interested in the intersection of geometry and physics. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Global analysis (Mathematics). | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a General relativity (Physics). | |
| 650 | 1 | 4 | |a Global Analysis and Analysis on Manifolds. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a General Relativity. |
| 700 | 1 | |a Deshmukh, Sharief. |e author. |0 (orcid)0000-0003-3700-8164 |1 https://orcid.org/0000-0003-3700-8164 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789819992577 |
| 776 | 0 | 8 | |i Printed edition: |z 9789819992591 |
| 776 | 0 | 8 | |i Printed edition: |z 9789819992607 |
| 830 | 0 | |a Infosys Science Foundation Series in Mathematical Sciences, |x 2364-4044 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-981-99-9258-4 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||