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Research Output 1998 2019

  • 54 Citations
  • 5 h-Index
  • 10 Article
2019

The Kernel of the Rarita–Schwinger Operator on Riemannian Spin Manifolds

Homma, Y. & Semmelmann, U., 2019 Jan 1, In : Communications in Mathematical Physics.

Research output: Contribution to journalArticle

kernel
operators
Operator
Harmonic Forms
Positive Scalar Curvature
2016
2 Citations (Scopus)

Twisted Dirac operators and generalized gradients

Homma, Y., 2016 Mar 3, (Accepted/In press) In : Annals of Global Analysis and Geometry. p. 1-27 27 p.

Research output: Contribution to journalArticle

Generalized Gradient
Dirac Operator
Homomorphism
Linear Combination
Differential operator
2006
12 Citations (Scopus)

Bochner-weitzenböck formulas and curvature actions on Riemannian manifolds

Homma, Y., 2006 Jan, In : Transactions of the American Mathematical Society. 358, 1, p. 87-114 28 p.

Research output: Contribution to journalArticle

Enveloping Algebra
Algebra
Riemannian Manifold
Curvature
Gradient
5 Citations (Scopus)

Estimating the eigenvalues on quaternionic Kähler manifolds

Homma, Y., 2006 Jul, In : International Journal of Mathematics. 17, 6, p. 665-691 27 p.

Research output: Contribution to journalArticle

Eigenvalue
Enveloping Algebra
First Eigenvalue
Differential operator
First-order
2005
3 Citations (Scopus)

Bochner identities for Kählerian gradients

Homma, Y., 2005 Sep, In : Mathematische Annalen. 333, 1, p. 181-211 31 p.

Research output: Contribution to journalArticle

Gradient
Eigenvalue Estimates
Vanishing Theorems
Universal Enveloping Algebra
Differential operator
2001
7 Citations (Scopus)

Spinor-valued and Clifford algebra-valued harmonic polynomials

Homma, Y., 2001 Feb, In : Journal of Geometry and Physics. 37, 3, p. 201-215 15 p.

Research output: Contribution to journalArticle

Harmonic Polynomials
Clifford Algebra
Spinor
polynomials
algebra
2 Citations (Scopus)

The higher spin dirac operators on 3-dimensional manifolds

Homma, Y., 2001 Jan 1, In : Tokyo Journal of Mathematics. 24, 2, p. 579-596 18 p.

Research output: Contribution to journalArticle

Dirac Operator
2000
7 Citations (Scopus)

A representation of spin(4) on the eigenspinors of the dirac operator on S3

Homma, Y., 2000 Jan 1, In : Tokyo Journal of Mathematics. 23, 2, p. 453-472 20 p.

Research output: Contribution to journalArticle

Dirac Operator
Spinors
Hemisphere
Zero
1999
5 Citations (Scopus)

Submodels of nonlinear grassmann sigma models in any dimension and conserved currents, exact solutions

Fujii, K., Homma, Y. & Suzuki, T., 1999 May 10, In : Modern Physics Letters A. 14, 14, p. 919-928 10 p.

Research output: Contribution to journalArticle

Sigma Models
Exact Solution
Higher Order
Model
1998
11 Citations (Scopus)