Tetrahedron maps, Yang–Baxter maps, and partial linearisations

Segment - Preserving Maps of Partial

Bilateral Maps for Partial Matching

Feature-driven analysis forms the basis of many shape processing tasks, where detected feature points are characterized by local shape descriptors. Such descriptors have so far been defined to capture regions of interest centered at individual points. Using such regions to compare feature points can be problematic when performing partial shape matching, since the region of interest is typically...

On Pushouts of Partial Maps

The paper gives a sufficient condition for the existence of all pushouts in an arbitrary category of partial maps C∗M that is necessary whenever the category of total maps C ⊆ C∗M has cocones of spans; the latter is the case in all slice categories of C and thus the condition is necessary locally. The main theorem is that, given an admissible class of monos M in a category C that has cocones of...

Relative Compactness and Product Stable Quotient Maps

Stability of F-biharmonic maps

This paper studies some properties of F-biharmonic maps between Riemannian manifolds. By considering the first variation formula of the F-bienergy functional, F-biharmonicity of conformal maps are investigated. Moreover, the second variation formula for F-biharmonic maps is obtained. As an application, instability and nonexistence theorems for F-biharmonic maps are given.