Weighted cohomology of asymptotically hyperbolic manifolds.
Bullock, Stephen S. (2001)
The New York Journal of Mathematics [electronic only]
Similarity:
Bullock, Stephen S. (2001)
The New York Journal of Mathematics [electronic only]
Similarity:
Dabbour, Abd el-Sattar A., Hijazi, Rola A. (2001)
International Journal of Mathematics and Mathematical Sciences
Similarity:
G. Harder, R. MacPherson, M. Goresky (1994)
Inventiones mathematicae
Similarity:
Steven Zucker (1986)
Compositio Mathematica
Similarity:
Shingo Murakami (1987)
Annales de l'institut Fourier
Similarity:
We consider the cohomoly groups of compact locally Hermitian symmetric spaces with coefficients in the sheaf of germs of holomorphic sections of those vector bundles over the spaces which are defined by canonical automorphic factors. We give a quick survey of the research on these cohomology groups, and then discuss vanishing theorems of the cohomology groups.
Joachim Schwermer (1986)
Compositio Mathematica
Similarity:
Eduard Looijenga (1988)
Compositio Mathematica
Similarity:
Claudemir Aniz (2006)
Fundamenta Mathematicae
Similarity:
Let K be a CW-complex of dimension 3 such that H³(K;ℤ) = 0, and M a closed manifold of dimension 3 with a base point a ∈ M. We study the problem of existence of a map f: K → M which is strongly surjective, i.e. such that MR[f,a] ≠ 0. In particular if M = S¹ × S² we show that there is no f: K → S¹ × S² which is strongly surjective. On the other hand, for M the non-orientable S¹-bundle over S² there exists a complex K and f: K → M such that MR[f,a] ≠ 0.
Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Andrzej Czarnecki (2014)
Annales Polonici Mathematici
Similarity:
A characterisation of trivial 1-cohomology, in terms of some connectedness condition, is presented for a broad class of metric spaces.
Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
Similarity: