It is known that any two points in Teichmüller space are joined by an earthquake path. In this paper we show any earthquake path R → T (S) extends to a proper holomorphic mapping of a simplyconnected domain D into Teichmüller space, where R ⊂ D ⊂ C. These complex earthquakes relate Weil-Petersson geometry, projective structures, pleated surfaces and quasifuchsian groups. Using complex earthquak...

Piecewise rational Bézier curves with G-continuity in the projective space provide a useful tool for shape blending applications with complex boundary conditions where visual continuity is required. This paper presents an efficient method to construct such curves given an initial sequence of rational segments Gcontinuous in the affine space. Combination of degree elevation and linear rational r...

We develop some theory of double fibration transforms where the cycle space is a smooth manifold and apply it to complex projective space.

A subcomplex of a residual complex on projective space is constructed for computing the cohomology modules of locally free sheaves. A constructive new proof of the Bott formula is given by explicitly exhibiting bases for the cohomology modules.

In this paper, we establish the following result: Let M be an n-dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below. Then either M is totally geodesic or infr ≤ (3n+1)(n−2)/3, where r is the scalar curvature of M .

Let M be a compact irreducible Hermitian symmetric space and write M = G/K, with G the group of holomorphic isometries of M and K the stability group of the point of 0 ∈ M . We determine the maximal dimension of a complex projective space embedded in M as a totally geodesic submanifold. AMS Subject Classification: 14L35, 22F30, 20G05 Introduction Let M be a simply connected compact complex mani...