Research about singularities has been driving scientific advancements across mathematics
and physics. Comprehending and harnessing the novel properties of singularities in …

In this work we present the results of Monte Carlo (MC) simulations at the isothermal–
isobaric ensemble for a discotic liquid crystal (DLC) droplet whose surface promotes edge …

Electromagnetic multipoles serve as one of the most ubiquitous languages in photonics,
forming a complete expansion basis for radiations of arbitrary types. Electromagnetic …

Binary mixtures of the mesogen [1 ″, 7 ″-bis (4-cyanobiphenyl-4′-yl) heptane] and a long
chain amphiphile (eg, 2-octadecoxypropanol) are examined for the structure, stability, and …

Cone spherical surfaces are orientable Riemannian surfaces with constant curvature one
and a finite set of conical singularities. A subset of these surfaces, referred to as dihedral …

The self-assembly of liquid crystal droplets and shells represents a captivating frontier in soft
matter physics, promising precision engineering of functional materials. In this study, we …

The projective span of a smooth manifold is defined to be the maximal number of linearly
independent tangent line fields. We initiate a study of projective span, highlighting its …

We study linearly independent complex line fields on almost-complex manifolds, which is a
topic of long-standing interest in differential topology and complex geometry. A necessary …

An Observation About Conformal Points on Surfaces | Arnold Mathematical Journal Skip to
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In this paper, we study the relationship of the Brouwer degree of a vector field with the
dynamics of the induced flow. Analogous relations are studied for the index of a vector field …