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In this note we show that any complete Kähler (immersed) Euclidean hypersurface $M^{2 n} \subset ℝ^{2 n + 1}$ must be the product of a surface in $ℝ^{3}$ with an Euclidean factor $ℂ^{n - 1} ≅ ℝ^{2 n - 2}$ .

Complex Contact Structures and the First Eigenvalue of the Dirac Operator on Kähler Manifolds.

K.-D. Kirchberg, U. Semmelmann (1995)

Geometric and functional analysis

Complex Lagrange spaces.

Munteanu, Gheorghe (1998)

Balkan Journal of Geometry and its Applications (BJGA)

Complex points of minimal surfaces in almost Kähler manifolds.

Renyi Ma (1998)

Manuscripta mathematica

Conformal Duality and Compact Complex Surfaces.

Charles P. Boyer (1986)

Mathematische Annalen

Construction of Kähler surfaces with constant scalar curvature

Yann Rollin, Michael Singer (2009)

Journal of the European Mathematical Society

Convergence of Bergman geodesics on ${CP}^{1}$

Jian Song, Steve Zelditch (2007)

Annales de l’institut Fourier

The space $ℋ$ of Kähler metrics in a fixed Kähler class on a projective Kähler manifold $X$ is an infinite dimensional symmetric space whose geodesics $ω_{t}$ are solutions of a homogeneous complex Monge-Ampère equation in $A \times X$ , where $A \subset ℂ$ is an annulus. Phong-Sturm have proven that the Monge-Ampère geodesic of Kähler potentials $ϕ (t, z)$ of $ω_{t}$ may be approximated in a weak $C^{0}$ sense by geodesics $ϕ_{N} (t, z)$ of the finite dimensional symmetric space of Bergman metrics of height $N$ . In this article we prove that $ϕ_{N} (t, z) \to ϕ (t, z)$ in $C^{2} ([0, 1] \times X)$ in the case of...

Convexity on the space of Kähler metrics

Bo Berndtsson (2013)

Annales de la faculté des sciences de Toulouse Mathématiques

These are the lecture notes of a minicourse given at a winter school in Marseille 2011. The aim of the course was to give an introduction to recent work on the geometry of the space of Kähler metrics associated to an ample line bundle. The emphasis of the course was the role of convexity, both as a motivating example and as a tool.

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Compactification of Kähler manifolds with negative Ricci curvature.

Compactifications kähleriennes de voisinages ouverts de cycles géométriquement positifs

Complete Kähler Manifolds of Positive Ricci Curvature.

Complete Kähler manifolds with zero Ricci curvature. II.

Complete real Kähler Euclidean hypersurfaces are cylinders

Complex Contact Structures and the First Eigenvalue of the Dirac Operator on Kähler Manifolds.

Complex Lagrange spaces.

Complex points of minimal surfaces in almost Kähler manifolds.

Conformal Duality and Compact Complex Surfaces.

Construction of Kähler surfaces with constant scalar curvature

Convergence of Bergman geodesics on ${CP}^{1}$

Convexity on the space of Kähler metrics

Coréduction algébrique d'un espace analytique faiblement Kählérien compact.

Correction to "C*-actions".

Correction to: Spectral Geometry and the Kaehler Condition for Complex Manifolds.

Correction to the paper "Distortions of a bounded domain by holomorphic mappings".

CR structures on real hypersurfaces of a complex projective space.

CR submanifolds of maximal CR dimension in complex projective space and its holomorphic sectional curvature

CR-hypersurfaces of complex projective space.

CR-products of S-manifolds

Currently displaying 101 – 120 of 510