Structures géométriques holomorphes sur les variétés complexes compactes
Sur les symétries des structures géométriques rigides
Nous présentons des résultats de classification pour des variétés lorentziennes de dimension trois avec “beaucoup” de symétries locales.
The cohomology groups
The conformal change of the metric of an almost Hermitian manifold applied to the antiholomorphic curvature tensor
By using the technique of decomposition of a Hermitian vector space under the action of a unitary group, Ganchev [2] obtained a tensor which he named the Weyl component of the antiholomorphic curvature tensor. We show that the same tensor can be obtained by direct application of the conformal change of the metric to the antiholomorphic curvature tensor. Also, we find some other conformally curvature tensors and examine some relations between them.
The equations of generalized complex structures on complex 2-tori.
The hypercomplex quotient and the quaternionic quotient.
Three-dimensional complex homogeneous complex contact manifolds.
Totally real submanifolds in a quaternion space form
In this paper, we prove a theorem for -dimensional totally real minimal submanifold immersed in quaternion space form.
Unique continuation in abstract pseudoconcave manifolds
Warped product submanifolds in generalized complex space forms.
Zermelo problem of navigation on Hermitian manifolds.