Levi-Civita and generalized Tanaka-Webster covariant derivatives for real hypersurfaces in complex two-plane Grassmannians

Verfasser / Beitragende:
[Imsoon Jeong, Hyunjin Lee, Young Suh]
Ort, Verlag, Jahr:
2015
Enthalten in:
Annali di Matematica Pura ed Applicata (1923 -), 194/3(2015-06-01), 919-930
Format:
Artikel (online)
ID: 605496307
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024 7 0 |a 10.1007/s10231-014-0405-7  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10231-014-0405-7 
245 0 0 |a Levi-Civita and generalized Tanaka-Webster covariant derivatives for real hypersurfaces in complex two-plane Grassmannians  |h [Elektronische Daten]  |c [Imsoon Jeong, Hyunjin Lee, Young Suh] 
520 3 |a It is known that submanifolds in Kaehler manifolds have many kinds of connections. Among them, we consider two connections, that is, Levi-Civita and Tanaka-Webster connections for real hypersurfaces in complex two-plane Grassmannians $$G_2({\mathbb C}^{m+2})$$ G 2 ( C m + 2 ) . When they are equal to each other, we give some characterizations in $$G_2({\mathbb C}^{m+2})$$ G 2 ( C m + 2 ) . 
540 |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Real hypersurfaces  |2 nationallicence 
690 7 |a Complex two-plane Grassmannians  |2 nationallicence 
690 7 |a Hopf hypersurface  |2 nationallicence 
690 7 |a $$\mathfrak D^{\bot }$$ D ⊥ -invariant hypersurface  |2 nationallicence 
690 7 |a Levi-Civita connection  |2 nationallicence 
690 7 |a Generalized Tanaka-Webster connection  |2 nationallicence 
700 1 |a Jeong  |D Imsoon  |u Department of Mathematics, Kyungpook National University, 702-701, Taegu, Korea  |4 aut 
700 1 |a Lee  |D Hyunjin  |u Department of Mathematics, Kyungpook National University, 702-701, Taegu, Korea  |4 aut 
700 1 |a Suh  |D Young  |u Department of Mathematics, Kyungpook National University, 702-701, Taegu, Korea  |4 aut 
773 0 |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/3(2015-06-01), 919-930  |x 0373-3114  |q 194:3<919  |1 2015  |2 194  |o 10231 
856 4 0 |u https://doi.org/10.1007/s10231-014-0405-7  |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/s10231-014-0405-7  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Jeong  |D Imsoon  |u Department of Mathematics, Kyungpook National University, 702-701, Taegu, Korea  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Lee  |D Hyunjin  |u Department of Mathematics, Kyungpook National University, 702-701, Taegu, Korea  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Suh  |D Young  |u Department of Mathematics, Kyungpook National University, 702-701, Taegu, Korea  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/3(2015-06-01), 919-930  |x 0373-3114  |q 194:3<919  |1 2015  |2 194  |o 10231