In-Kyun Kim

activity

20152026

most citedAlpha invariants of birationally rigid Fano threefolds

3 citations · 9 across the 18 of their papers we have counts for

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2 papers · 1 filter

math.DG2026

Sasaki-Einstein metrics on connected sums of $S^{3} \times S^{4}$

Dasol Jeong, In-Kyun Kim, Jihun Park +1

We completely characterize the $n$ -fold connected sums of $S^{3} \times S^{4}$ that admit Sasaki-Einstein structures by proving that such a structure exists if and only if $n$ is even.

math.DG2022

New Sasaki-Einstein 5-manifolds

Dasol Jeong, In-Kyun Kim, Jihun Park +1

We prove that closed simply connected $5$ -manifolds $2 (S^{2} \times S^{3}) # n M_{2}$ allow Sasaki-Einstein structures, where $M_{2}$ is the closed simply connected $5$ -manifold with $\mathr…

Sasaki-Einstein metrics on connected sums of S3×S4

New Sasaki-Einstein 5-manifolds

Sasaki-Einstein metrics on connected sums of $S^{3} \times S^{4}$