18 citations · 28 across the 4 of their papers we have counts for
4 papers
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…
Deformations of Higher-Page Analogues of -Manifolds
Dan Popovici, Jonas Stelzig, Luis Ugarte
We extend the notion of essential deformations from the case of the Iwasawa manifold, for which they were introduced recently by the first-named author, to the general case of page…
Higher-Page Bott-Chern and Aeppli Cohomologies and Applications
Dan Popovici, Jonas Stelzig, Luis Ugarte
For every positive integer , we introduce two new cohomologies, that we call -Bott-Chern and -Aeppli, on compact complex manifolds. When , they coincide with the…
Higher-Page Hodge Theory of Compact Complex Manifolds
Dan Popovici, Jonas Stelzig, Luis Ugarte
On a compact -manifold , one has the Hodge decomposition: the de Rham cohomology groups split into subspaces of pure-type classes as $H_{dR}^k (X)=\oplus_{…