Geodesics of the complex projective space(Complex) Projective SpaceBegin study of convex algebraic sets in...

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Geodesics of the complex projective space


(Complex) Projective SpaceBegin study of convex algebraic sets in complex projective spaceVector Field in a complex projective spaceGeodesics that paint curves on the projective space bundlePunctured complex projective spaceSurface in complex projective spaceDistance function on the complex projective spaceWhat is the difference between projective space and weighted projective space?The symmetry group / isometry group of the complex projective spaceDefinition of an almost complex hyperplane in the projective space $mathbb{C} P^n$.













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$begingroup$


Is the complex projective space, a geodesic space?



Is the complex projective space, a convex space?



Let H be hyperplane of $mathbb{C} P^n$, Is $mathbb{C} P^nsetminus H,$ a bounded convex space?










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$endgroup$












  • $begingroup$
    ? What is your definition of a geodesic space here? Do you mean that it is a manifold where any two points are the endpoints of some geodesic? In that case, this quickly follows from the Riemannian structure.
    $endgroup$
    – Brevan Ellefsen
    19 hours ago












  • $begingroup$
    You need to provide context and proof attempts if you would like any help though. This is not a site to get help on homework questions if you're not willing to put in the effort.
    $endgroup$
    – Brevan Ellefsen
    19 hours ago
















0












$begingroup$


Is the complex projective space, a geodesic space?



Is the complex projective space, a convex space?



Let H be hyperplane of $mathbb{C} P^n$, Is $mathbb{C} P^nsetminus H,$ a bounded convex space?










share|cite|improve this question









$endgroup$












  • $begingroup$
    ? What is your definition of a geodesic space here? Do you mean that it is a manifold where any two points are the endpoints of some geodesic? In that case, this quickly follows from the Riemannian structure.
    $endgroup$
    – Brevan Ellefsen
    19 hours ago












  • $begingroup$
    You need to provide context and proof attempts if you would like any help though. This is not a site to get help on homework questions if you're not willing to put in the effort.
    $endgroup$
    – Brevan Ellefsen
    19 hours ago














0












0








0





$begingroup$


Is the complex projective space, a geodesic space?



Is the complex projective space, a convex space?



Let H be hyperplane of $mathbb{C} P^n$, Is $mathbb{C} P^nsetminus H,$ a bounded convex space?










share|cite|improve this question









$endgroup$




Is the complex projective space, a geodesic space?



Is the complex projective space, a convex space?



Let H be hyperplane of $mathbb{C} P^n$, Is $mathbb{C} P^nsetminus H,$ a bounded convex space?







complex-analysis complex-geometry projective-space geodesic






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Mar 11 at 11:18









jalled abdessamijalled abdessami

137




137












  • $begingroup$
    ? What is your definition of a geodesic space here? Do you mean that it is a manifold where any two points are the endpoints of some geodesic? In that case, this quickly follows from the Riemannian structure.
    $endgroup$
    – Brevan Ellefsen
    19 hours ago












  • $begingroup$
    You need to provide context and proof attempts if you would like any help though. This is not a site to get help on homework questions if you're not willing to put in the effort.
    $endgroup$
    – Brevan Ellefsen
    19 hours ago


















  • $begingroup$
    ? What is your definition of a geodesic space here? Do you mean that it is a manifold where any two points are the endpoints of some geodesic? In that case, this quickly follows from the Riemannian structure.
    $endgroup$
    – Brevan Ellefsen
    19 hours ago












  • $begingroup$
    You need to provide context and proof attempts if you would like any help though. This is not a site to get help on homework questions if you're not willing to put in the effort.
    $endgroup$
    – Brevan Ellefsen
    19 hours ago
















$begingroup$
? What is your definition of a geodesic space here? Do you mean that it is a manifold where any two points are the endpoints of some geodesic? In that case, this quickly follows from the Riemannian structure.
$endgroup$
– Brevan Ellefsen
19 hours ago






$begingroup$
? What is your definition of a geodesic space here? Do you mean that it is a manifold where any two points are the endpoints of some geodesic? In that case, this quickly follows from the Riemannian structure.
$endgroup$
– Brevan Ellefsen
19 hours ago














$begingroup$
You need to provide context and proof attempts if you would like any help though. This is not a site to get help on homework questions if you're not willing to put in the effort.
$endgroup$
– Brevan Ellefsen
19 hours ago




$begingroup$
You need to provide context and proof attempts if you would like any help though. This is not a site to get help on homework questions if you're not willing to put in the effort.
$endgroup$
– Brevan Ellefsen
19 hours ago










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