The global theory of doubly periodic minimal surfaces.
The Gluck and Ziller problem with the euclidean metric
The graded differential geometry of mixed symmetry tensors
We show how the theory of -manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors such as the dual graviton. The geometric aspects of such tensor fields on both flat and curved space-times are discussed.
The graded representations of an affine Lie algebra
The -graded symplectic Floer cohomology of monotone Lagrangian submanifolds.
The gradient flow of Higgs pairs
We consider the gradient flow of the Yang–Mills–Higgs functional of Higgs pairs on a Hermitian vector bundle over a Kähler surface , and study the asymptotic behavior of the heat flow for Higgs pairs at infinity. The main result is that the gradient flow with initial condition converges, in an appropriate sense which takes into account bubbling phenomena, to a critical point of this functional. We also prove that the limiting Higgs pair can be extended smoothly to a vector bundle over...
The graph of a totally geodesic foliation
We study the properties of the graph of a totally geodesic foliation. We limit our considerations to basic properties of the graph, and from them we derive several interesting corollaries on the structure of leaves.
The Gromov invariant and the Donaldson-Smith standard surface count.
The Gromov Norm of the Kaehler Class of Symmetric Domains.
The Gromov width of complex Grassmannians.
The group of biholomorphic automorphisms of symmetric Siegel domains and its topology
The Group of Invertible Elements of the Algebra of Quaternions
We have, that all two-dimensional subspaces of the algebra of quaternions, containing a unit, are 2-dimensional subalgebras isomorphic to the algebra of complex numbers. It was proved in the papers of N. E. Belova. In the present article we consider a 2-dimensional subalgebra of complex numbers with basis and we construct the principal locally trivial bundle which is isomorphic to the Hopf fibration.
The Group of Isometries of a Left Invariant Riemannian Metric on a Lie Group.
The group of quasisymmetric homeomorphisms of the circle and quantization of the universal Teichmüller space.
The group structure of supergravity
The Hartogs-type extension theorem for meromorphic maps intor compact Kähler manifolds.
The Hawking effect
The heat flows and harmonic maps of complete noncompact Riemannian manifolds.
The height function on the 2-dimensional cohomology of a flag manifold.
The Helgason-Fourier transform for symmetric spaces. II.