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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Wissenschaftlicher Beirat: Bamberg, John / Bannai, Eiichi / Cavalieri, Renzo / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Ratcliffe, John G. / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard


IMPACT FACTOR 2018: 0.789

CiteScore 2018: 0.73

SCImago Journal Rank (SJR) 2018: 0.329
Source Normalized Impact per Paper (SNIP) 2018: 0.908

Mathematical Citation Quotient (MCQ) 2018: 0.53

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1615-7168
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Band 15, Heft 4

Hefte

Locally Monge–Ampère parabolic foliations

Morris Kalka / Giorgio Patrizio
  • Korrespondenzautor
  • Dip. Matematica e Informatica “U. Dini”, Università di Firenze, Viale Morgani 67/a 50134 Firenze, Italy
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Online erschienen: 06.10.2015 | DOI: https://doi.org/10.1515/advgeom-2015-0029

Abstract

It is shown that codimension one parabolic foliations of complex manifolds are holomorphic. This is proved using the facts that codimension one foliations of complex manifolds are necessarily locally Monge- Ampère foliations and that parabolic leaves cannot have hyperbolic behavior. The result holds true also for locally Monge-Ampère foliations with parabolic leaves of arbitrary codimension.

Keywords: Monge-Ampère foliations; homogeneous complex Monge-Ampère equation; parabolic manifolds

Artikelinformationen

Erhalten: 11.10.2013

Online erschienen: 06.10.2015

Erschienen im Druck: 01.10.2015


Quellenangabe: Advances in Geometry, Band 15, Heft 4, Seiten 433–444, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2015-0029.

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