Volume 36 (2026)

Tian Invariants on G2,4(C) Blown Up Along P1(C) ∼= S2

In this paper, we prove the existence of an extremal functionthat minorizes all admissible functions with zero supremum ona non-toric Fano manifold, namely the complex GrassmannianG2,4(C) blown up along P1(C). The functions considered areinvariant under a suitably chosen automorphism group. Thislower bound allows us to calculate the Tian invariant for this classof functions on these manifolds. Mor...

Efficiency of Simpson’s Rule; A Case Study of Unilorin Land Area

Simpson’s rule, a numerical integration technique, provides anefficient method for estimating the area of an irregularly shapedlarge landmasses when analytical solutions are impractical. Thisstudy applies Simpson’s 13 , 38 and hybrid rules to determine thearea of the University of Ilorin landmass. The hybrid method,combining the 13 and 38 rules, proves to be more efficient due to itsflexibility wi...

Radial Solution of the Monge-Amp`ere Equation on R3 and R4

In this paper, we determine radial solutions of the Monge-Amp`ere equation on R3 and R4 using a symplectic changeof variables. This transformation simplifies the formulationof the equation and allows it to be expressed in radialform, thereby reducing the problem to an associated ordinarydifferential equation. The existence and uniqueness of thesolutions are established and explicit expressions are...