Alma universitas studiorum parmensis A.D. 962 - Università di Parma

Event description

Abstract: In the context of non-Kähler geometry, there are many examples of compact complex manifolds carrying different kinds of geometric structures such as p-Kähler, p-pluriclosed, and p-symplectic. These structures generalize the well-known Strong Kähler with torsion, Astheno-Kähler, and balanced metrics.

After an overview of these structures, we discuss the special case of holomorphically parallelizable manifolds. Moreover, we describe obstructions to the existence of such structures, along with examples of nilmanifolds where the coexistence of Strong  Kähler with torsion, Astheno-Kähler, and (n-1)-symplectic structures is possible.


Ettore Lo Giudice
Dottorando all'Università di Parma.

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