Paracontact metric structures on the unit tangent sphere bundle
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605496587 | ||
| 003 | CHVBK | ||
| 005 | 20210128100537.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-014-0424-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-014-0424-4 | ||
| 245 | 0 | 0 | |a Paracontact metric structures on the unit tangent sphere bundle |h [Elektronische Daten] |c [Giovanni Calvaruso, Verónica Martín-Molina] |
| 520 | 3 | |a Starting from $$g$$ g -natural pseudo-Riemannian metrics of suitable signature on the unit tangent sphere bundle $$T_1 M$$ T 1 M of a Riemannian manifold $$(M,\langle ,\rangle )$$ ( M , ⟨ , ⟩ ) , we construct a family of paracontact metric structures. We prove that this class of paracontact metric structures is invariant under $$\mathcal {D}$$ D -homothetic deformations, and classify paraSasakian and paracontact $$(\kappa ,\mu )$$ ( κ , μ ) -spaces inside this class. We also present a way to build paracontact $$(\kappa ,\mu )$$ ( κ , μ ) -spaces from corresponding contact metric structures on $$T_1 M$$ T 1 M . | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Unit tangent sphere bundle |2 nationallicence | |
| 690 | 7 | |a g-Natural metrics |2 nationallicence | |
| 690 | 7 | |a Paracontact metric structures |2 nationallicence | |
| 690 | 7 | |a $$(\kappa , \mu )$$ ( κ , μ ) -Spaces |2 nationallicence | |
| 700 | 1 | |a Calvaruso |D Giovanni |u Dipartimento di Matematica e Fisica "E.De Giorgi”, Università del Salento, Provinciale Lecce-Arnesano, 73100, Lecce, Italy |4 aut | |
| 700 | 1 | |a Martín-Molina |D Verónica |u Centro Universitario de la Defensa, Academia General Militar, Carretera de Huesca s/n, 50090, Zaragoza, Spain |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1359-1380 |x 0373-3114 |q 194:5<1359 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-014-0424-4 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-014-0424-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Calvaruso |D Giovanni |u Dipartimento di Matematica e Fisica "E.De Giorgi”, Università del Salento, Provinciale Lecce-Arnesano, 73100, Lecce, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Martín-Molina |D Verónica |u Centro Universitario de la Defensa, Academia General Militar, Carretera de Huesca s/n, 50090, Zaragoza, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1359-1380 |x 0373-3114 |q 194:5<1359 |1 2015 |2 194 |o 10231 | ||