Differential geometry is a pivotal field of mathematics that examines the properties of curves, surfaces and more general manifolds by utilising methods from calculus and linear algebra. Its ...

Let M be a real hypersurface in Pn(C), J be the complex structure and ξ denote a unit normal vector field on M. We show that M is (an open subset of) a homogeneous hypersurface if and only if M has ...

The homogeneous space G/Pλ, where G is a simple algebraic group and Pλ a parabolic subgroup corresponding to a fundamental weight λ (with respect to a fixed Borel subgroup B of G in Pλ), is known in ...

On the left, the schematic illustration depicts the gluing rules of the Brillouin manifold, with a half-twist operation connecting the opposing faces. On the right, the BZ is divided into 64 blocks by ...