Biharmonic maps extend the concept of harmonic maps by exploring critical points of higher order energy functionals. In Riemannian geometry, while harmonic maps minimise the classical energy ...

In an era driven by complex data, scientists are increasingly encountering information that doesn't lie neatly on flat, ...

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

Researchers have developed a new method that greatly improves the accuracy of brain-state classification with functional near ...

It is known that Albert Einstein constructed equations of general relativity by adopting Riemann geometry. In addition to the key role it played in mathematics and physics, Riemann geometry has ...

In many modern sciences, data often exist on curved geometric spaces rather than flat planes, posing challenges for ...

In this paper the Maximal Diameter Theorem of Riemannian geometry is proven for Riemannian orbifolds. In particular, it is shown that a complete Riemannian orbifold with Ricci curvature bounded below ...

Our understanding of the universe was overhauled in a period of 10 years from 1905-1915 when German-born theoretical physicist Albert Einstein gave us his special theory of relativity and the general ...

This is a preview. Log in through your library . Abstract The aim of this paper is to argue that there existed relevant interactions between mechanics and geometry during the first half of the ...