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Charles Matthews
Charles Matthews
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Kahler Kähler metrics for projective space that are not the Fubini-SturdyStudy metric

For projective $N$-space $CP^{N}$, there is a canonical KahlerKähler metric called the Fubini-SturdyStudy metric. Do there exist other KahlerKähler metrics for $CP^N$. If so, is there any classification of such metrics?

More generally, how does this work for the Grassmanians, or even flag manifolds?

Kahler metrics for projective space that are not the Fubini-Sturdy metric

For projective $N$-space $CP^{N}$, there is a canonical Kahler metric called the Fubini-Sturdy metric. Do there exist other Kahler metrics for $CP^N$. If so, is there any classification of such metrics?

More generally, how does this work for the Grassmanians, or even flag manifolds?

Kähler metrics for projective space that are not the Fubini-Study metric

For projective $N$-space $CP^{N}$, there is a canonical Kähler metric called the Fubini-Study metric. Do there exist other Kähler metrics for $CP^N$. If so, is there any classification of such metrics?

More generally, how does this work for the Grassmanians, or even flag manifolds?

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Dyke Acland
Dyke Acland
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Kahler metrics for projective space that are not the Fubini-Sturdy metric

For projective $N$-space $CP^{N}$, there is a canonical Kahler metric called the Fubini-Sturdy metric. Do there exist other Kahler metrics for $CP^N$. If so, is there any classification of such metrics?

More generally, how does this work for the Grassmanians, or even flag manifolds?