We give the solution of a classical problem Approximation Theory on sharp asymptotic Lebesgue constants or norms Fourier-Laplace projections real projective spaces $\mathrm{P}^{d}(\mathbb{R})$. In particular, these results extend found by Fejer [2] in case $\mathbb{S}^{1}$ 1910 and Gronwall [4] 1914 $\mathbb{S}^{2}$. The spheres, $\mathbb{S}^{d}$, complex quaternionic spaces, $\mathrm{P}^{d}(\m...

There are two definitions of Einstein-Finsler spaces introduced by Akbar-Zadeh, which we will show is equal along the integral curves $I$-invariant projective vector fields. The sub-algebra $C$-projective fields, leaving $H$-curvature invariant, has been studied extensively. Here on a closed Finsler space with negative definite Ricci curvature reduces to that Killing Moreover, if an admits such...

Geometric invariant theory (GIT) was developed in the 1960s by Mumford in order to construct quotients of reductive group actions on algebraic varieties and hence to construct and study a number of moduli spaces, including, for example, moduli spaces of bundles over a nonsingular projective curve [26, 28]. Moduli spaces often arise naturally as quotients of varieties by algebraic group actions,...