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We get optimal lower bounds for the eigenvalues of the submanifold Dirac operator on locally reducible Riemannian manifolds in terms of intrinsic and extrinsic expressions. The limiting-cases are also studied.… Click to show full abstract
We get optimal lower bounds for the eigenvalues of the submanifold Dirac operator on locally reducible Riemannian manifolds in terms of intrinsic and extrinsic expressions. The limiting-cases are also studied. As a corollary, we can recover several known results in this direction.
Keywords:
submanifold dirac;
bounds eigenvalue;
dirac operator;
lower bounds
Journal Title: Mathematische Zeitschrift
Year Published: 2020
Link to full text (if available)
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Journal Title: Mathematische Zeitschrift
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!