An example of an almost cosymplectic homogeneous manifold

1986 ◽  
pp. 133-142 ◽  
Author(s):  
D. Chinea ◽  
C. González
Keyword(s):  
Homogeneous Manifold

scholarly journals On the affine group of a normal homogeneous manifold

2009 ◽  
Vol 37 (4) ◽  
pp. 351-359 ◽  
Author(s):  
Silvio Reggiani
Keyword(s):  
Affine Group ◽  
Homogeneous Manifold

Families of smooth hypersurfaces on certain compact homogeneous complex manifolds

1983 ◽  
Vol 93 (2) ◽  
pp. 315-321
Author(s):  
Ciprian Borcea
Keyword(s):  
Complex Manifold ◽  
Betti Number ◽  
Homology Group ◽  
Cell Decomposition ◽  
Homogeneous Manifold ◽  
Holomorphic Maps ◽  
Algebraic Sets ◽  
Homogeneous Complex ◽  
Homogeneous Complex Manifold ◽  
Lower Dimensional

Let X be a compact connected homogeneous complex manifold, which is Kāhlerian and has the second Betti number equal to one: b2(X) = 1; dimcX ≥ 3.It is known that these conditions imply the following: X is a projective-rational homogeneous manifold (see (3)); X has an ‘algebraic cell-decomposition’: the 2s-dimensional closed cells are s-dimensional irreducible algebraic sets in X and they form a basis for the 2s-homology group of X, s = 1, 2, …, dimcX (see (1)); there are no holomorphic maps of X on lower dimensional (normal) analytic spaces except constants (see (9)).

Einstein metrics and Einstein–Randers metrics on a class of homogeneous manifolds

2018 ◽  
Vol 15 (04) ◽  
pp. 1850052 ◽  
Author(s):  
Chao chen ◽  
Zhiqi chen ◽  
Yuwang Hu
Keyword(s):  
Einstein Metrics ◽  
Homogeneous Manifold ◽  
Homogeneous Manifolds ◽  
Randers Metrics

In this paper, we give [Formula: see text]-invariant Einstein metrics on a class of homogeneous manifolds [Formula: see text], and then prove that every homogeneous manifold [Formula: see text] admits at least three families of [Formula: see text]-invariant non-Riemannian Einstein–Randers metrics.

scholarly journals Homotopy groups of pullbacks of varieties

1986 ◽  
Vol 102 ◽  
pp. 79-90 ◽  
Author(s):  
Andrew John Sommese ◽  
A. van de Ven
Keyword(s):  
General Result ◽  
Tangent Bundle ◽  
Homogeneous Manifold ◽  
Homotopy Groups ◽  
Holomorphic Map

In [2, § 9] there is a general result of Fulton and Lazarsfeld relating the homotopy groups of a subvariety of in a certain range of dimensions with those of its pullback under a holomorphic map in the corresponding range of dimensions. It is asked in [2, § 10] whether here is a corresponding result with replaced by a general rational homogeneous manifold, Y, and with the range of dimensions alluded to above shifted by the ampleness of the holomorphic tangent bundle of Y in the sense of [4]. In this paper we use the techniques of [4, 5, 6, 7] to answer this question in the affirmative.

On Complex Homogeneous Manifolds

1967 ◽  
Vol 10 (2) ◽  
pp. 251-256 ◽  
Author(s):  
K. Srinivasacharyulu
Keyword(s):  
Fiber Bundle ◽  
Homogeneous Manifold ◽  
Homogeneous Manifolds ◽  
Complex Homogeneous Manifold ◽  
Holomorphic Fiber Bundle

Compact complex homogeneous manifolds have been studied in great detail by Borel, Goto, Remmert and Wang (cf., (13)): it was shown that every compact, connected complex homogeneous manifold M is a holomorphic fiber bundle over a projective algebraic homogeneous manifold B with a connected, complex parallelizable fiber F.

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