1 citations · 2 across the 3 of their papers we have counts for
6 papers
Estimating the eigenvalues on Quaternionic Kähler Manifolds
Yasushi Homma
We study geometric first order differential operators on quaternionic Kähler manifolds. Their principal symbols are related to the enveloping algebra and Casimir elements for $\Sp(…
Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds
Yasushi Homma
Gradients are natural first order differential operators depending on Riemannian metrics. The principal symbols of them are related to the enveloping algebra and higher Casimir ele…
The Bochner identities for the Kählerian gradients
Yasushi Homma
We discuss algebraic properties for the symbols of geometric first order differential operators on almost Hermitian manifolds and Kähler manifolds. Through study on the universal e…
Spherical harmonic polynomials for higher bundles
Yasushi Homma
We give a method of decomposing bundle-valued polynomials compatible with the action of the Lie group , where important tools are -equivariant operators and their…
Clifford Homomorphisms and Higher Spin Dirac Operators
Yasushi Homma
We present a generalization of the Clifford action for other representations spaces of , which is called the Clifford homomorphism. Their properties extend to the ones for…
The Higher Spin Dirac Operators on 3-Dimensional Manifolds
Yasushi Homma
We study the higher spin Dirac operators on 3-dimensional manifolds and show that there exist two Laplace type operators for each associated bundle. Furthermore, we give lower boun…