Tubes and the Geometry of the Kahler Manifolds
Twisted Product -submanifolds in a Locally Conformal Kaehler Manifold
Twistor forms on Kähler manifolds
Twistor forms are a natural generalization of conformal vector fields on riemannian manifolds. They are defined as sections in the kernel of a conformally invariant first order differential operator. We study twistor forms on compact Kähler manifolds and give a complete description up to special forms in the middle dimension. In particular, we show that they are closely related to hamiltonian 2-forms. This provides the first examples of compact Kähler manifolds with non–parallel twistor forms in...
Twistor Holomorphic Immersions of Real Surfaces Into Kähler Surface.
Twistor spaces for Riemannian symmetric spaces.
Twistor spaces over the connected sum of 3 projective planes
Twistor transforms of quaternionic functions and orthogonal complex structures
The theory of slice-regular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains of . When is a symmetric slice domain, the twistor transform of such a function is a holomorphic curve in the Klein quadric. The case in which is the complement of a parabola is studied in detail and described by a rational quartic surface in the twistor space .
Two theorems on -Sasakian manifolds.
Über Gebiete mit vollständiger Kählermetrik.
Una classe di varietà quaternionali che ammettono una struttura complessa compatibile
Si dimostra l'esistenza di una struttura complessa compatibile globale sulle varietà quaternionali di Hermite-Weyl compatte regolari. Se ne deducono alcune restrizioni sui numeri di Betti.
Uniqueness of Kähler-Einstein cone metrics.
The purpose of this paper is to describe a method to construct a Kähler metric with cone singularity along a divisor and to illustrate a type of maximum principle for these incomplete metrics by showing that Kähler-Einstein metrics are unique in geometric Hölder spaces.
Uniqueness Theorems of Kähler Metrics of Semipositive Bisectional Curvature on Compact Hermitian Symetric Spaces.
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Upper bound for the first eigenvalue of algebraic submanifolds.
Vanishing conharmonic tensor of normal locally conformal almost cosymplectic manifold
The main purpose of the present paper is to study the geometric properties of the conharmonic curvature tensor of normal locally conformal almost cosymplectic manifolds (normal LCAC-manifold). In particular, three conhoronic invariants are distinguished with regard to the vanishing conharmonic tensor. Subsequentaly, three classes of normal LCAC-manifolds are established. Moreover, it is proved that the manifolds of these classes are -Einstein manifolds of type . Furthermore, we have determined...
Vanishing theorems for twistor spaces
Volume minimization of Lagrngian submanifolds under Hamiltonian deformations.
Volume simplicial des espaces hermitiens symétriques
Weakly Ample Kähler Manifolds and Euler Number.
Weakly-Einstein hermitian surfaces
A consequence of the Riemannian Goldberg-Sachs theorem is the fact that the Kähler form of an Einstein Hermitian surface is an eigenform of the curvature operator. Referring to this property as -Einstein condition we obtain a complete classification of the compact locally homogeneous -Einstein Hermitian surfaces. We also provide large families of non-homogeneous -Einstein (but non-Einstein) Hermitian metrics on , , and on the product surface of two curves and whose genuses are greater...