scholarly journals The radon transform for forms of type (1, 1) on complex projective space

1986 ◽  
Vol 273 (2) ◽  
pp. 349-351
Author(s):  
Hubert Goldschmidt
Keyword(s):  
Projective Space ◽  
Radon Transform ◽  
Complex Projective Space ◽  
Complex Projective

scholarly journals Kählerian submanifolds in a complex projective space with second fundamental form of polynomial type

1984 ◽  
Vol 96 ◽  
pp. 61-70
Author(s):  
Ryoichi Takagi
Keyword(s):  
Projective Space ◽  
Sectional Curvature ◽  
Covariant Derivative ◽  
Complex Projective Space ◽  
Second Fundamental Form ◽  
Holomorphic Sectional Curvature ◽  
Fundamental Tensor ◽  
Polynomial Type ◽  
Complex Projective

Let PN be an iV-dimensional complex projective space with Fubini-Study metric of constant holomorphic sectional curvature, and M be a Kählerian submanifold in PN. Let H be the second fundamental tensor + of M, and be the covariant derivative of type (1, 0) on M.

Non-Compact Complex Projective Space as a Phase Space

2020 ◽  
Vol 17 (5) ◽  
pp. 744-747
Author(s):  
E. Khastyan ◽  
H. Shmavonyan
Keyword(s):  
Phase Space ◽  
Projective Space ◽  
Complex Projective Space ◽  
Complex Projective

scholarly journals From surfaces in the 5-sphere to 3-manifolds in complex projective 3-space

2002 ◽  
Vol 66 (3) ◽  
pp. 465-475 ◽  
Author(s):  
J. Bolton ◽  
C. Scharlach ◽  
L. Vrancken
Keyword(s):  
Projective Space ◽  
Minimal Surface ◽  
Complex Projective Space ◽  
Lagrangian Submanifold ◽  
3 Dimensional ◽  
Ellipse Of Curvature ◽  
Complex Projective

In a previous paper it was shown how to associate with a Lagrangian submanifold satisfying Chen's equality in 3-dimensional complex projective space, a minimal surface in the 5-sphere with ellipse of curvature a circle. In this paper we focus on the reverse construction.

Reduction theorem of the codimension of minimal generic submanifolds in a complex projective space

1995 ◽  
Vol 54 (2) ◽  
pp. 137-143
Author(s):  
Sung-Baik Lee ◽  
Seung-Gook Han ◽  
Nam-Gil Kim ◽  
Masahiro Kon
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Reduction Theorem ◽  
Generic Submanifolds ◽  
Complex Projective

Hermitian–Einstein metrics and jumping lines forSp(n+1)-homogeneous bundles over ℙ2n+1

1993 ◽  
Vol 114 (3) ◽  
pp. 443-451
Author(s):  
Al Vitter
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Vector Bundles ◽  
Einstein Metrics ◽  
Einstein Metric ◽  
Holomorphic Vector Bundles ◽  
Kähler Form ◽  
Points Of View ◽  
The Stability ◽  
Complex Projective

Stable holomorphic vector bundles over complex projective space ℙnhave been studied from both the differential-geometric and the algebraic-geometric points of view.On the differential-geometric side, the stability ofE-→ ℙncan be characterized by the existence of a unique hermitian–Einstein metric onE, i.e. a metric whose curvature matrix has trace-free part orthogonal to the Fubini–Study Kähler form of ℙn(see [6], [7], and [13]). Very little is known about this metric in general and the only explicit examples are the metrics on the tangent bundle of ℙnand the nullcorrelation bundle (see [9] and [10]).

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