منابع مشابه
Tight Lagrangian surfaces in S 2 × S 2 ∗
We determine all tight Lagrangian surfaces in S 2 × S 2. In particular, globally tight Lagrangian surfaces in S 2 × S 2 are nothing but real forms.
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We deal with the minimal Lagrangian surfaces of the EinsteinKähler surface S × S, studying local geometric properties and showing that they can be locally described as Gauss maps of minimal surfaces in S ⊂ R. We also discuss the second variation of the area and characterize the most relevant examples by their stability behaviour.
متن کاملar X iv : 0 80 9 . 15 36 v 2 [ m at h . D G ] 1 5 Ju n 20 09 Tight Lagrangian surfaces in S 2 × S 2 ∗ Hiroshi
We determine all tight Lagrangian surfaces in S2×S2. In particular, globally tight Lagrangian surfaces in S2 × S2 are nothing but real forms.
متن کاملHamiltonian stationary Lagrangian surfaces in C 2
We study Hamiltonian stationary Lagrangian surfaces in C, i.e. Lagrangian surfaces in C which are stationary points of the area functional under smooth Hamiltonian variations. Using loop groups, we propose a formulation of the equation as a completely integrable system. We construct a Weierstrass type representation and produce all tori through either the integrable systems machinery or more di...
متن کاملSelf - dual instantons in the torus S 2 − × S 2 +
Self-dual instantons in S2 − × S 2 + are studied, where S 2 − × S 2 + is the conformal compactification of the semi-Euclidean space R2+2.
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2009
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-009-9398-6