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The purpose of this paper is to prove that an AH3-manifold of constant antiholomorphic sectional curvature is a real space form or a complex space form.
In this paper we study submanifolds of almost contact manifolds with Norden metric of codimension two with totally real normal spaces. Examples of such submanifolds as a Lie subgroups are constructed.
Let X be a smooth compact manifold with boundary. For smooth foliations on the boundary of X admitting a ‘resolution’ in terms of a fibra-tion, we construct a pseudodifferential calculus generalizing ...
We consider the SO(3) Witten-Reshetikhin-Turaev quantum invariants of random 3-manifolds. When the level r is prime, we show that the asymptotic distribution of the absolute value of these invariants...
this paper we study Lagrangian Floer theory on toric manifolds from the point of view of mirror symmetry. We construct a natural isomorphism between the Frobenius manifold structures of the (big) quan...
We introduce a variant of the Seiberg-Witten equations, Pin−(2)-monopole equations, and give its applications to intersection forms with local coefficients of 4-manifolds. The first application ...
We generalize the familiar notions of overtwistedness and Giroux torsion in 3-dimensional contact manifolds, defining an infinite hierarchy of local filling obstructions called planar torsion, whose i...
We consider asymptotically flat Riemannian manifolds with nonnegative scalar curvature that are conformal to Rn \ , n  3, and so that their boundary is a minimal hypersurface.
The Oeljeklaus-Toma (OT-) manifolds are complex manifolds constructed by Oeljeklaus and Toma from certain number fields, and generalizing the Inoue surfaces Sm.
We prove that if a Calabi–Yau manifold M admits a holomorphic Cartan geometry, then M is covered by a complex torus. This is done by establishing the Bogomolov inequality for semistable sheaves on com...
We prove that an AK2-manifold of dimension 2m ≥ 6 and of pointwise constant antiholomorphic sectional curvature is either a 6-dimensional manifold of constant negative sectional curvature or is local...
Let M be an almost Hermitian manifold with dimM = 2n, a metric tensor g and an almost complex structure J. The Ricci tensor and the scalar curvature with regard to the curvature tensor R are denoted b...
In this paper we consider nearly K¨ahler manifolds of pointwise constant antiholomorphic sectional curvature. An analogue of Schur’s theorem is proved and a classification theorem for such manifolds...
A description of time-dependent Mechanics in terms of Lagrangian submanifolds of presymplectic and Poisson manifolds is presented. Two new Tulczyjew triples are discussed. The first one is adapted to ...
In this paper, we study the gradient estimate for positive solutions to the following nonlinear heat equation problem ut − u = au log u + V u, u > 0 on the compact Riemannian manifold (M, g) of...

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