Curvature and relative Betti numbers.
Curvature and relative Betti numbers.
Many interesting relations between curvature and Betti numbers in a compact orientable Riemannian space are obtained by S. Bochner, A. Lichnerowicz and K. Yano (See [1]).We shall generalize these results to the case of the domain with boundary.Three quadratic forms related to the curvature tensors of the domain and of …