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C.F.G
C.F.G
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Tian has defined bisectional curvature for unit and perpendicular tangent vectors x,y ,$X,Y$ as follow
R(x,y,x,y)+R(x,Jy,x,Jy).$$R(X,Y,X,Y)+R(X,JY,X,JY).$$ If bisectional curvature be constant, is there any relationship between sectional curvature and bisectional curvature? In this case (bisectional curvature is constant) what we can say about conjugate points of the manifold?

Tian has defined bisectional curvature for unit and perpendicular tangent vectors x,y , as follow
R(x,y,x,y)+R(x,Jy,x,Jy). If bisectional curvature be constant, is there any relationship between sectional curvature and bisectional curvature? In this case (bisectional curvature is constant) what we can say about conjugate points of the manifold?

Tian has defined bisectional curvature for unit and perpendicular tangent vectors $X,Y$ as follow
$$R(X,Y,X,Y)+R(X,JY,X,JY).$$ If bisectional curvature be constant, is there any relationship between sectional curvature and bisectional curvature? In this case (bisectional curvature is constant) what we can say about conjugate points of the manifold?

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Reza
Reza
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Tian has defined bisectional curvature for unit and perpendicular tangent vectors x,y , as follow
R(x,y,x,y)+R(x,yJy,Jxx,Jy). If bisectional curvature be constant, is there any relationship between sectional curvature and bisectional curvature? In this case (bisectional curvature is constant) what we can say about conjugate points of the manifold?

Tian has defined bisectional curvature for unit and perpendicular tangent vectors x,y , as follow
R(x,y,x,y)+R(x,y,Jx,Jy). If bisectional curvature be constant, is there any relationship between sectional curvature and bisectional curvature? In this case (bisectional curvature is constant) what we can say about conjugate points of the manifold?

Tian has defined bisectional curvature for unit and perpendicular tangent vectors x,y , as follow
R(x,y,x,y)+R(x,Jy,x,Jy). If bisectional curvature be constant, is there any relationship between sectional curvature and bisectional curvature? In this case (bisectional curvature is constant) what we can say about conjugate points of the manifold?

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Reza
Reza
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Relationship between sectional curvature, bisectional curvature and conjugate points

Tian has defined bisectional curvature for unit and perpendicular tangent vectors x,y , as follow
R(x,y,x,y)+R(x,y,Jx,Jy). If bisectional curvature be constant, is there any relationship between sectional curvature and bisectional curvature? In this case (bisectional curvature is constant) what we can say about conjugate points of the manifold?