Results 11 to 20 of about 2,185 (102)
Deformation classes in generalized Kähler geometry
Complex Manifolds, 2020 We describe natural deformation classes of generalized Kähler structures using the Courant symmetry group, which determine natural extensions of the notions of Kähler class and Kähler cone to generalized Kähler geometry.
Gibson Matthew, Streets Jeffrey
doaj +1 more source
Uniqueness of optimal symplectic connections
Forum of Mathematics, Sigma, 2021 Consider a holomorphic submersion between compact Kähler manifolds, such that each fibre admits a constantscalar curvature Kähler metric. When the fibres admit continuous automorphisms, a choice of fibrewise constant scalarcurvature Kähler metric is not ...
Ruadhaí Dervan, Lars Martin Sektnan
doaj +1 more source
A Family of Complex Nilmanifolds with in finitely Many Real Homotopy Types
Complex Manifolds, 2018 We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga, with a > [0,∞), of real dimension eight with (strongly non-nilpotent) complex structures.
Latorre Adela +2 more
doaj +1 more source
Minimal symplectic atlases of Hermitian symmetric spaces [PDF]
, 2015 In this paper we compute the minimal number of Darboux chart needed to cover a Hermitian symmetric space of compact type in terms of the degree of their embeddings in $\mathbb{C} P^N$. The proof is based on the recent work of Y. B. Rudyak and F. Schlenk [
Mossa, Roberto, Placini, Giovanni
core +1 more source
A remark on four‐dimensional almost Kähler‐Einstein manifolds with negative scalar curvature
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 35, Page 1837-1842, 2004., 2004 Concerning the Goldberg conjecture, we will prove a result obtained by applying the result of Iton in terms of L2‐norm of the scalar curvature.
R. S. Lemence, T. Oguro, K. Sekigawa
wiley +1 more source
Deformation theory of holomorphic Cartan geometries, II
Complex Manifolds, 2022 In this continuation of [4], we investigate the deformations of holomorphic Cartan geometries where the underlying complex manifold is allowed to move. The space of infinitesimal deformations of a flat holomorphic Cartan geometry is computed.
Biswas Indranil +2 more
doaj +1 more source
A Kähler Einstein structure on the tangent bundle of a space form
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 183-195, 2001., 2001 We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant. Similar results are obtained for a tube around zero section in the tangent bundle, in the case of the Riemannian manifolds of constant positive ...
Vasile Oproiu
wiley +1 more source
Ruled real hypersurfaces in the complex hyperbolic quadric
Demonstratio Mathematica, 2023 In this article, we introduce a new family of real hypersurfaces in the complex hyperbolic quadric Qn∗=SO2,no∕SO2SOn{{Q}^{n}}^{\ast }=S{O}_{2,n}^{o}/S{O}_{2}S{O}_{n}, namely, the ruled real hypersurfaces foliated by complex hypersurfaces.
Lee Hyunjin, Suh Young Jin, Woo Changhwa
doaj +1 more source
Totally real submanifolds in a complex projective space
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 205-208, 1999., 1999 In this paper, we establish the following result: Let M be an n‐dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below. Then either M is totally geodesic or inf r ≤ (3n + 1)(n − 2)/3, where r is the scalar curvature of M.
Liu Ximin
wiley +1 more source
On some compact almost Kähler locally symmetric space
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 69-72, 1998., 1997 In the framework of studying the integrability of almost Kähler manifolds, we prove that if a compact almost Kähler locally symmetric space M is a weakly ,∗‐Einstein vnanifold with non‐negative ,∗‐scalar curvature, then M is a Kähler manifold.
Takashi Oguro
wiley +1 more source