VANISHING THEOREMS FOR HYPERSURFACES IN THE UNIT SPHERE
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DOI: 10.1017/s0017089517000350
Abstract: Abstract Let Mn, n ≥ 3, be a complete hypersurface in $\mathbb{S}$n+1. When Mn is compact, we show that Mn is a homology sphere if the squared norm of its traceless second fundamental form is… read more here.
Keywords: harmonic forms; vanishing theorems; hypersurfaces unit; theorems hypersurfaces ... See more keywords
Vanishing theorems on Kähler Lie algebroids
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DOI: 10.1142/s0219887820500590
Abstract: In this paper, we extend the Hodge theory to complex Lie algebroids, introduce the Laplacian operators and decompose the cohomological groups with respect to these operators, and generalize Kahler ... read more here.
Keywords: lie algebroids; theorems hler; vanishing theorems; hler lie ... See more keywords