Reduced $L_{q,p}$-Cohomology of Some Twisted Products
Vanishing results for reduced $L_{p,q}$-cohomology are established in the case of twisted products, which are a~generalization of warped products. Only the case $q \leq p$ is considered. This is an extension of some results by Gol'dshtein, Kuz'minov and Shvedov about the $L_{p}$-cohomology...
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| creator | Gol'dshtein, Vladimir Kopylov, Yaroslav |
| description | Vanishing results for reduced $L_{p,q}$-cohomology are established in the
case of twisted products, which are a~generalization of warped products. Only
the case $q \leq p$ is considered. This is an extension of some results by
Gol'dshtein, Kuz'minov and Shvedov about the $L_{p}$-cohomology of warped
cylinders. One of the main observations is the vanishing of the
"middle-dimensional" cohomology for a large class of manifolds. This means that
the $L_2$-Betty numbers are zero in the "middle dimension". |
| doi_str_mv | 10.48550/arxiv.1505.00913 |
| format | Article |
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case of twisted products, which are a~generalization of warped products. Only
the case $q \leq p$ is considered. This is an extension of some results by
Gol'dshtein, Kuz'minov and Shvedov about the $L_{p}$-cohomology of warped
cylinders. One of the main observations is the vanishing of the
"middle-dimensional" cohomology for a large class of manifolds. This means that
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case of twisted products, which are a~generalization of warped products. Only
the case $q \leq p$ is considered. This is an extension of some results by
Gol'dshtein, Kuz'minov and Shvedov about the $L_{p}$-cohomology of warped
cylinders. One of the main observations is the vanishing of the
"middle-dimensional" cohomology for a large class of manifolds. This means that
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case of twisted products, which are a~generalization of warped products. Only
the case $q \leq p$ is considered. This is an extension of some results by
Gol'dshtein, Kuz'minov and Shvedov about the $L_{p}$-cohomology of warped
cylinders. One of the main observations is the vanishing of the
"middle-dimensional" cohomology for a large class of manifolds. This means that
the $L_2$-Betty numbers are zero in the "middle dimension".</abstract><doi>10.48550/arxiv.1505.00913</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Differential Geometry Mathematics - Geometric Topology |
| title | Reduced $L_{q,p}$-Cohomology of Some Twisted Products |
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