Curvature estimates for properly immersed $$\phi _{h}$$ ϕ h -bounded submanifolds
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 60549598X | ||
| 003 | CHVBK | ||
| 005 | 20210128100534.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-013-0367-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-013-0367-1 | ||
| 245 | 0 | 0 | |a Curvature estimates for properly immersed $$\phi _{h}$$ ϕ h -bounded submanifolds |h [Elektronische Daten] |c [G. Bessa, Barnabe Lima, Leandro Pessoa] |
| 520 | 3 | |a Jorge-Koutrofiotis (Am J Math 103:711-725, 1980) and Pigola et al. (Memoirs Am Math Soc 174(822), 2005) proved sharp sectional curvature estimates for extrinsically bounded submanifolds. In Alías et al. (Trans Am Math Soc 364(7):3513-3528, 2012), Alias et al. showed that these estimates hold on properly immersed cylindrically bounded submanifolds. On the other hand, Alias et al. (Math Ann 345(2):367-376, 2009) proved mean curvature estimates for properly immersed cylindrically bounded submanifolds. In this paper, we prove these sectional and mean curvature estimates for a larger class of submanifolds, the properly immersed $$\phi $$ ϕ -bounded submanifolds, see Theorems5 and 6. With the ideas developed, we prove stronger forms of these estimates, see the results in Sect.4. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 | ||
| 690 | 7 | |a Curvature estimates |2 nationallicence | |
| 690 | 7 | |a $$\phi $$ ϕ -Bounded submanifolds |2 nationallicence | |
| 690 | 7 | |a Omori-Yau pairs |2 nationallicence | |
| 690 | 7 | |a Omori-Yau maximum principle |2 nationallicence | |
| 700 | 1 | |a Bessa |D G. |u Department of Mathematics, Universidade Federal do Ceará-UFC, 60455-760, Fortaleza, CE, Brazil |4 aut | |
| 700 | 1 | |a Lima |D Barnabe |u Department of Mathematics, Universidade Federal do Piauí-UFPI, 64049-550, Teresina, PI, Brazil |4 aut | |
| 700 | 1 | |a Pessoa |D Leandro |u Department of Mathematics, Universidade Federal do Piauí-UFPI, 64049-550, Teresina, PI, Brazil |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/1(2015-02-01), 109-130 |x 0373-3114 |q 194:1<109 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-013-0367-1 |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/s10231-013-0367-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bessa |D G. |u Department of Mathematics, Universidade Federal do Ceará-UFC, 60455-760, Fortaleza, CE, Brazil |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lima |D Barnabe |u Department of Mathematics, Universidade Federal do Piauí-UFPI, 64049-550, Teresina, PI, Brazil |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Pessoa |D Leandro |u Department of Mathematics, Universidade Federal do Piauí-UFPI, 64049-550, Teresina, PI, Brazil |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/1(2015-02-01), 109-130 |x 0373-3114 |q 194:1<109 |1 2015 |2 194 |o 10231 | ||