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math.DG2021
Almost complex manifolds with small Nijenhuis tensor
Luis Fernandez, Tobias Shin, Scott O. Wilson
We give several explicit examples of compact manifolds with a -parameter family of almost complex structures having arbitrarily small Nijenhuis tensor in the -norm. The …
math.DG2020★ 1 cited
Microflexiblity and local integrability of horizontal curves
Álvaro del Pino, Tobias Shin
Let be an analytic bracket-generating distribution. We show that the subspace of germs that are singular (in the sense of Control Theory) has infinite codimension within the sp…
math.DG2019
Directed immersions for complex structures
Tobias Shin
We analyze the differential relation corresponding to integrability of almost complex structures, reformulated as a directed immersion relation by Demailly and Gaussier. Combining…