### Multiplicity and the Lojasiewicz exponent

Arkadiusz Płoski (1988)

Banach Center Publications

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Arkadiusz Płoski (1988)

Banach Center Publications

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Georgi Ganchev, Vesselka Mihova (2008)

Open Mathematics

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The Kähler manifolds of quasi-constant holomorphic sectional curvatures are introduced as Kähler manifolds with complex distribution of codimension two, whose holomorphic sectional curvature only depends on the corresponding point and the geometric angle, associated with the section. A curvature identity characterizing such manifolds is found. The biconformal group of transformations whose elements transform Kähler metrics into Kähler ones is introduced and biconformal tensor invariants...

Indranil Biswas, Benjamin McKay (2016)

Complex Manifolds

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We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold. This shows that many complex manifolds admit no or few holomorphic Cartan geometries.

Taubes, Clifford Henry (1998)

Documenta Mathematica

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Naichung Conan Leung (1996)

Mathematische Annalen

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Giuliana Gigante (1974)

Rendiconti del Seminario Matematico della Università di Padova

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X. X. Chen, G. Tian (2008)

Publications Mathématiques de l'IHÉS

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John S. Bland (1985)

Inventiones mathematicae

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Ngaiming Mok (2000)

Annales de l'institut Fourier

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We prove fibration theorems on compact Kähler manifolds with conditions on first cohomology groups of fundamental groups with respect to unitary representations into Hilbert spaces. If the fundamental group T of compact Kähler manifold X violates Property (T) of Kazhdan’s, then ${H}^{1}(Gamma,\Phi )\ne 0$ for some unitary representation $\Phi $. By our earlier work there exists a $d$-closed holomorphic 1-form with coefficients twisted by some unitary representation ${\Phi}^{\text{'}}$, possibly non-isomorphic to $\Phi $. Taking norms we obtains...

Demir N. Kupeli (1993)

Manuscripta mathematica

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Włodzimierz Jelonek (2009)

Colloquium Mathematicae

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The aim of this paper is to present the first examples of compact, simply connected holomorphically pseudosymmetric Kähler manifolds.

Oproiu, V. (1997)

General Mathematics

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Yuka Kotorii (2014)

Fundamenta Mathematicae

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We define finite type invariants for cyclic equivalence classes of nanophrases and construct universal invariants. Also, we identify the universal finite type invariant of degree 1 essentially with the linking matrix. It is known that extended Arnold basic invariants to signed words are finite type invariants of degree 2, by Fujiwara's work. We give another proof of this result and show that those invariants do not provide the universal one of degree 2.