Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture explores cutting-edge theory and research on the form valued Laplacian in the class of smooth compact manifolds without boundary. The authors explore eigenform preservation in respect to pull back. They state that an eigenvalue changes only if the corresponding eigenvalue changes. The authors also examine the Bochner Laplacian and the spinor Laplacian in suitable settings. There is a chapter on positive curvature that explores the Dirac operator, ...
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Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture explores cutting-edge theory and research on the form valued Laplacian in the class of smooth compact manifolds without boundary. The authors explore eigenform preservation in respect to pull back. They state that an eigenvalue changes only if the corresponding eigenvalue changes. The authors also examine the Bochner Laplacian and the spinor Laplacian in suitable settings. There is a chapter on positive curvature that explores the Dirac operator, the Gromov-Lawson conjecture and the Ricci curvature. The book concludes with a useful appendix, which includes an introduction to complex and Hodge geometry.
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