Minimal surfaces in three dimensional Lorentzian Heisenberg group
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 55 Số 1 - Trang 1-23 - 2014
Tóm tắt
In this paper, we study the minimal and maximal surface in three dimensional Lorentzian Heisenberg group $$Heis_{3}$$ . We obtain characterizations of the one parameter subgroups in three dimensional Lorentzian Heisenberg group which is endowed with left invariant Lorentz metrics $$g_{1}, g_{2}, g_{3}$$ .
Tài liệu tham khảo
citation_journal_title=Differ. Geom.-Dyn. Syst.; citation_title=Helicoids and axially symmetric minimal surfaces in 3-dimensional homogenous spaces; citation_author=M Bekkar, F Bouziani, Y Boukhatem, J Inoguchi; citation_volume=9; citation_publication_date=2007; citation_pages=21-39; citation_id=CR1
citation_journal_title=J. Differ. Geom.; citation_title=Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group
; citation_author=D Danielli, N Garofalo, DM Nhieu, SD Pauls; citation_volume=81; citation_publication_date=2009; citation_pages=251-295; citation_id=CR2
citation_journal_title=Novi Sad J. Math.; citation_title=Some characterizations of rectifying curves in the Minkowski 3-space; citation_author=K Ilarslan, E Nesovic, MP Torgasev; citation_volume=33; citation_publication_date=2003; citation_pages=23-32; citation_id=CR3
citation_journal_title=Turk. J. Math.; citation_title=Spacelike normal curves in Minkowski space
; citation_author=K Ilarslan; citation_volume=29; citation_publication_date=2005; citation_pages=53-63; citation_id=CR4
citation_journal_title=Hokkaido Math. J.; citation_title=Grassmann geometry on the 3-dimensional Heisenberg group; citation_author=J Inoguchi, K Kuwabara, H Naitoh; citation_volume=34; citation_publication_date=2005; citation_pages=375-391; citation_doi=10.14492/hokmj/1285766228; citation_id=CR5
citation_journal_title=Acta Math. Sin.; citation_title=A Weirstrass representation formula for minimal surfaces in
and
; citation_author=F Mercuri, S Montaldo, P Piu; citation_volume=22; citation_publication_date=2006; citation_pages=1603-1612; citation_doi=10.1007/s10114-005-0637-y; citation_id=CR6
citation_journal_title=Univ. Stud. Lecce; citation_title=One parameter subgroups and minimal surfaces in the Heisenberg group; citation_author=P Piu, A Sanini; citation_volume=46; citation_publication_date=2000; citation_pages=143-153; citation_id=CR7
citation_journal_title=Geom. Dedic.; citation_title=Lorentzian geometry of the Heisenberg group; citation_author=N Rahmani, S Rahmani; citation_volume=118; citation_publication_date=2006; citation_pages=133-140; citation_doi=10.1007/s10711-005-9030-3; citation_id=CR8
citation_journal_title=N.-Holl. Phys. Publ.; citation_title=Metriiques de Lorentz sur les groupes de Lie unimodulaires, de dimension trois; citation_author=S Rahmani; citation_volume=9; citation_publication_date=1992; citation_pages=295-302; citation_id=CR9