Equidistribution problems in complex dynamics of higher dimension
Equidistribution of the orbits of points, subvarieties or of periodic points in complex dynamics
is a fundamental problem. It is often related to strong ergodic properties of the dynamical …
is a fundamental problem. It is often related to strong ergodic properties of the dynamical …
Kähler immersions of Kähler–Ricci solitons into definite or indefinite complex space forms
A Loi, R Mossa - Proceedings of the American Mathematical Society, 2021 - ams.org
Let $(g, X) $ be a Kähler–Ricci soliton (KRS) on a complex manifold $ M $. We prove that if
the Kähler manifold $(M, g) $ can be Kähler immersed into a definite or indefinite complex …
the Kähler manifold $(M, g) $ can be Kähler immersed into a definite or indefinite complex …
On Cohomological Stochastic Dynamics of Higher Dimensions
A Azonnahin - 2019 - hal.science
Here is one of the best and the more recent books on Complex Dynamics in Higer
Dimension. Here, we develop a calculus on positive closed currents of arbitrary bidegree on …
Dimension. Here, we develop a calculus on positive closed currents of arbitrary bidegree on …
Holomorphic isometries into homogeneous bounded domains
A Loi, R Mossa - Proceedings of the American Mathematical Society, 2023 - ams.org
We prove two rigidity theorems on holomorphic isometries into homogeneous bounded
domains. The first shows that a Kähler-Ricci soliton induced by the homogeneous metric of a …
domains. The first shows that a Kähler-Ricci soliton induced by the homogeneous metric of a …
Submanifolds of Hermitian symmetric spaces
X Huang, Y Yuan - Analysis and Geometry: MIMS-GGTM, Tunis, Tunisia …, 2015 - Springer
We study the problem of non-relativity for a complex Euclidean space and a bounded
symmetric domain equipped with their canonical metrics. In particular, we answer a question …
symmetric domain equipped with their canonical metrics. In particular, we answer a question …
Rigidity properties of holomorphic isometries into homogeneous Kähler manifolds
A Loi, R Mossa - Proceedings of the American Mathematical Society, 2024 - ams.org
We prove two rigidity results on holomorphic isometries into homogeneous Kähler
manifolds. The first shows that a Kähler-Ricci soliton induced by the homogeneous metric of …
manifolds. The first shows that a Kähler-Ricci soliton induced by the homogeneous metric of …
Kähler submanifolds and the Umehara algebra
X Cheng, AJ Di Scala, Y Yuan - International Journal of …, 2017 - World Scientific
Kähler submanifolds and the Umehara algebra Page 1 International Journal of Mathematics
Vol. 28, No. 4 (2017) 1750027 (13 pages) c© World Scientific Publishing Company DOI …
Vol. 28, No. 4 (2017) 1750027 (13 pages) c© World Scientific Publishing Company DOI …
On the non-existence of common submanifolds of Kähler manifolds and complex space forms
X Cheng, Y Hao - Annals of Global Analysis and Geometry, 2021 - Springer
Two Kähler manifolds are called relatives if they admit a common Kähler submanifold with
their induced metrics. In this paper, we provide a sufficient condition to determine whether a …
their induced metrics. In this paper, we provide a sufficient condition to determine whether a …
Holomorphic maps from the complex unit ball to Type IV classical domains
Holomorphic maps from the complex unit ball to Type IV classical domains - ScienceDirect
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Submanifolds of some Hartogs domain and the complex Euclidean space
X Zhang, D Ji - Complex Variables and Elliptic Equations, 2023 - Taylor & Francis
Two Kähler manifolds are called relatives if they admit a common Kähler submanifold with
the same induced metrics. In this paper, we show that a Hartogs domain over an irreducible …
the same induced metrics. In this paper, we show that a Hartogs domain over an irreducible …