Let f:(Y,g)→(X,g 0 ) be a nonzero degree continuous map between compact Kähler manifolds of dimension n≥2, where g 0 has constant negative holomorphic sectional curvature. Adapting the Besson–Courtois–Gallot barycentre map techniques to the Kähler setting, we prove a gap theorem in terms of the degree of f and the diastatic entropies of (Y,g) and (X,g 0 ) which extends the rigidity result proved by the author in [13].
On the diastatic entropy and C^1-rigidity of complex hyperbolic manifolds
Mossa R.
2019-01-01
Abstract
Let f:(Y,g)→(X,g 0 ) be a nonzero degree continuous map between compact Kähler manifolds of dimension n≥2, where g 0 has constant negative holomorphic sectional curvature. Adapting the Besson–Courtois–Gallot barycentre map techniques to the Kähler setting, we prove a gap theorem in terms of the degree of f and the diastatic entropies of (Y,g) and (X,g 0 ) which extends the rigidity result proved by the author in [13].File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.