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Conectedness on Special Kaehler Manifolds

Perturbation trick in the proof of Seifert-van-KampenIntersection of simply connected sets IINegative curvature compact manifoldsComplex and Kähler-manifoldsQuestions on “simple-connectedness-like” propertyIs a constant function in a Sobolev space between manifolds always $C^infty$?Reference request: For manifolds $M,N$ the space $C^0(M,N)$ is in general not path-connected.Normal bundle of a smooth familyMore general than topological/smooth manifoldsEven dimensional indecomposable simply-connected closed manifolds with a free action of $mathbbZ/4$

0

$begingroup$

I just wanted to make a short/concise question. Anyone knows if there is a general statement about connectedness on Special Kaehler manifolds? These are of course not simply connected in general but maybe there is a theorem which states that they are, in general, path connected.

Thank you in advance.

differential-geometry algebraic-geometry algebraic-topology complex-geometry

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edited Mar 15 at 10:35

Martin

asked Mar 13 at 17:54

MartinMartin

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Martin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  What are “special” Kähler manifolds?
  $endgroup$
  – Gunnar Þór Magnússon
  Mar 15 at 11:13
  

  
  
  
  

add a comment | 

0

$begingroup$

I just wanted to make a short/concise question. Anyone knows if there is a general statement about connectedness on Special Kaehler manifolds? These are of course not simply connected in general but maybe there is a theorem which states that they are, in general, path connected.

Thank you in advance.

differential-geometry algebraic-geometry algebraic-topology complex-geometry

share|cite|improve this question

edited Mar 15 at 10:35

Martin

asked Mar 13 at 17:54

MartinMartin

11

New contributor

Martin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  What are “special” Kähler manifolds?
  $endgroup$
  – Gunnar Þór Magnússon
  Mar 15 at 11:13
  

  
  
  
  

add a comment | 

$begingroup$

I just wanted to make a short/concise question. Anyone knows if there is a general statement about connectedness on Special Kaehler manifolds? These are of course not simply connected in general but maybe there is a theorem which states that they are, in general, path connected.

Thank you in advance.

differential-geometry algebraic-geometry algebraic-topology complex-geometry

share|cite|improve this question

edited Mar 15 at 10:35

Martin

asked Mar 13 at 17:54

MartinMartin

11

New contributor

Martin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this question

edited Mar 15 at 10:35

Martin

asked Mar 13 at 17:54

MartinMartin

11

New contributor

Martin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

edited Mar 15 at 10:35

Martin

asked Mar 13 at 17:54

MartinMartin

11

New contributor

Martin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 13 at 17:54

MartinMartin

11

New contributor

Martin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 13 at 17:54

MartinMartin

11