Tangent bundles of quasi-constant holomorphic sectional curvatures.
Tangent Dirac structures of higher order
Let be an almost Dirac structure on a manifold . In [2] Theodore James Courant defines the tangent lifting of on and proves that: If is integrable then the tangent lift is also integrable. In this paper, we generalize this lifting to tangent bundle of higher order.
Tangent lifts of higher order of multiplicative Dirac structures
The tangent lifts of higher order of Dirac structures and some properties have been defined in [9] and studied in [11]. By the same way, the tangent lifts of higher order of Poisson structures have been studied in [10] and some applications are given. In particular, the authors have studied the nature of the Lie algebroids and singular foliations induced by these lifting. In this paper, we study the tangent lifts of higher order of multiplicative Poisson structures, multiplicative Dirac structures...
Tangent sphere bundles of natural diagonal lift type.
The Albanese mapping for compact almost complex manifolds.
The Bott Obstruction to the Existence of Nice Polarizations.
The Chern connection and curvature of the tangent bundle of an almost complex manifold. (La connexion et la courbure de Chern du fibré tangent d'une variété presque complexe.)
The construction of concomitants from an almost complex structure [Book]
The convex and concave decomposition of manifolds with real projective structures
The CR Yamabe conjecture the case
Let be a compact CR manifold of dimension with a contact form , and its associated CR conformal laplacien. The CR Yamabe conjecture states that there is a contact form on conformal to which has a constant Webster curvature. This problem is equivalent to the existence of a function such that , on . D. Jerison and J. M. Lee solved the CR Yamabe problem in the case where and is not locally CR equivalent to the sphere of . In a join work with R. Yacoub, the CR Yamabe problem...
The cyclic homology of
The differential geometry of almost Hermitian almost contact metric submersions.
The dimension function of holomorphic spaces of a real submanifold of an almost complex manifold
Let be a real submanifold of an almost complex manifold and let be the maximal holomorphic subspace, for each . We prove that , is upper-semicontinuous.
The Dolbeault operator on Hermitian spin surfaces
We prove the vanishing of the kernel of the Dolbeault operator of the square root of the canonical line bundle of a compact Hermitian spin surface with positive scalar curvature. We give lower estimates of the eigenvalues of this operator when the conformal scalar curvature is non -negative.
The existence problem of hyperbolic structures on vector bundles.
The f-sectional curvature of f-Kaehlerian manifolds
The Gauss map of Hessian manifolds in spaces of constant Hessian sectional curvature via Kozsul forms.
The homogeneous lift on the cotangent bundle.
The infinitesimal counterpart of tangent presymplectic groupoids of higher order
Let be a presymplectic groupoid. In this paper we characterize the infinitesimal counter part of the tangent presymplectic groupoid of higher order, where is the tangent groupoid of higher order and is the complete lift of higher order of presymplectic form .
The integrability of a field of endomorphisms
A Theorem is proved that gives intrinsic necessary and sufficient conditions for the integrability of a zero-deformable field of endomorphisms. The Theorem is proved by reducing to a special case in which the endomorphism field is nilpotent. Many arguments used in the derivation of similar results are simplified, principally by means of using quotient rather than subspace constructions.