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math.DG2021★ 4 cited
Sasaki structures distinguished by their basic Hodge numbers
D. Kotschick, G. Placini
In all odd dimensions we produce examples of manifolds admitting pairs of Sasaki structures with different basic Hodge numbers. In dimension we prove more precise resu…
math.DG2021★ 18 cited
Maximally non-integrable almost complex structures: an -principle and cohomological properties
Rui Coelho, Giovanni Placini, Jonas Stelzig
We study almost complex structures with lower bounds on the rank of the Nijenhuis tensor. Namely, we show that they satisfy an -principle. As a consequence, all parallelizable m…
math.DG2021★ 7 cited
Sasakian immersions of Sasaki-Ricci solitons into Sasakian space forms
Giovanni Placini
Let be a Sasaki-Ricci soliton on a Sasakian manifold . We prove that if admits a local Sasakian immersion in a Sasakian space form of constant -secti…