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On weaker notions for Kähler-Ricci solitons
We show that shrinking Kähler-Ricci solitons over a compact Kähler manifold are gradient shrinking Kähler-Ricci solitons. The proof relies on a...
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New transformation formulas for the fourth Lauricella function II
In this our second article on the fourth Lauricella function, we start with some lemmas where Lauricella functions with m equal variables or with m ...
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Fixed point theorem for generalized Kannan type map**s
In the present paper, we introduce a new type of map**s in metric spaces, which are three point analogues of the well-known Kannan type map**s,...
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Left-invariant almost complex structures on the higher dimensional Kodaira–Thurston manifolds
We develop computational techniques which allow us to calculate the Kodaira dimension as well as the dimension of spaces of Dolbeault harmonic forms...
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Internalizations of Decorated Bicategories via \(\pi _2\)-Indexings
We treat the problem of lifting bicategories into double categories through categories of vertical morphisms. We consider structures on decorated...
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Characterising trees and hyperbolic spaces by their boundaries
We use the language of proper CAT(-1) spaces to study thick, locally compact trees, the real, complex and quaternionic hyperbolic spaces and the...
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Arithmetic fundamental lemma for the spherical Hecke algebra
We define Hecke correspondences and Hecke operators on unitary RZ spaces and study their basic geometric properties, including a commutativity...