scholarly journals Harmonic morphisms and moment maps on hyper-Kähler manifolds

2016 ◽  
Vol 153 (3-4) ◽  
pp. 373-388
Author(s):  
M. Benyounes ◽  
E. Loubeau ◽  
R. Pantilie
Keyword(s):  
Kähler Manifolds ◽  
Harmonic Morphisms ◽  
Kahler Manifolds ◽  
Moment Maps

scholarly journals Global properties of toric nearly Kähler manifolds

2020 ◽  
Author(s):  
Kael Dixon
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Radial Solutions ◽  
Moment Maps ◽  
Global Geometry ◽  
Global Properties ◽  
Nearly Kähler ◽  
Nearly Kähler Manifolds

AbstractWe study toric nearly Kähler manifolds, extending the work of Moroianu and Nagy. We give a description of the global geometry using multi-moment maps. We then investigate polynomial and radial solutions to the toric nearly Kähler equation.

Sunada transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds

2020 ◽  
Vol 72 (1) ◽  
pp. 127-147
Author(s):  
Carolyn Gordon ◽  
Eran Makover ◽  
Bjoern Muetzel ◽  
David Webb
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds

Holomorphically projective mappings between generalized m-parabolic Kähler manifolds

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4865-4873 ◽  
Author(s):  
Milos Petrovic
Keyword(s):  
Linear Systems ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Covariant Derivatives ◽  
Linearly Independent ◽  
Non Linear ◽  
Non Linear Systems ◽  
Curvature Tensors ◽  
Derivatives Of

Generalized m-parabolic K?hler manifolds are defined and holomorphically projective mappings between such manifolds have been considered. Two non-linear systems of PDE?s in covariant derivatives of the first and second kind for the existence of such mappings are given. Also, relations between five linearly independent curvature tensors of generalized m-parabolic K?hler manifolds with respect to these mappings are examined.

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