Yuya Takeuchi

activity

20172026

Q

-prime curvature via renormalized characteristic forms

1 citations · 2 across the 9 of their papers we have counts for

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math.DG2020

Analysis of the critical CR GJMS operator

Yuya Takeuchi

The critical CR GJMS operator on a strictly pseudoconvex CR manifold is a non-hypoelliptic CR invariant differential operator. We prove that, under the embeddability assumption, it…

math.DG2020

Chern classes of spherical CR manifolds

Yuya Takeuchi

We first construct closed spherical CR manifolds of dimension at least five having non-trivial first Chern class with real coefficients. We next prove a constraint on Chern classes…

math.DG2020

$I^{'}$ -curvatures in higher dimensions and the Hirachi conjecture

Jeffrey S. Case, Yuya Takeuchi

We construct higher-dimensional analogues of the $I^{'}$ -curvature of Case and Gover in all CR dimensions $n \geq 2$ . Our $I^{'}$ -curvatures all transform b…

math.DG2020

Formulae of some global CR invariants for Sasakian $η$ -Einstein manifolds

Yuya Takeuchi

In this paper, we give explicit formulae of the Burns-Epstein invariant and global CR invariants via renormalized characteristic forms introduced by Marugame for Sasakian $η$ -Einst…

Analysis of the critical CR GJMS operator

Chern classes of spherical CR manifolds

I′-curvatures in higher dimensions and the Hirachi conjecture

Formulae of some global CR invariants for Sasakian η-Einstein manifolds

$I^{'}$ -curvatures in higher dimensions and the Hirachi conjecture

Formulae of some global CR invariants for Sasakian $η$ -Einstein manifolds