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edit approved Feb 18, 2016 at 11:18
Ali Taghavi
edit approved Feb 18, 2016 at 11:18
Ali Taghavi
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Does the tensor bundle of a compact manifold have a bondedbounded geometry?

Let $M$ be a compact manifold. Let $S^2 T^*M $ be the vector bundle of all symmetric $(0,2)$ tensors and $S_+^2 T^*M$ be the open subset of all the positive positive definite ones. Does $S_+^2 T^*M $ have bounded geometry? It is understood that the metric on it is the tensor product of the induced metric on the cotangent bundle from some Riemannian metric on $M$.

Does the tensor bundle of a compact manifold have a bonded geometry?

Let $M$ be a compact manifold. Let $S^2 T^*M $ be vector bundle of all symmetric $(0,2)$ tensors and $S_+^2 T^*M$ the open subset of all the positive definite ones. Does $S_+^2 T^*M $ have bounded geometry? It is understood that the metric on it is the tensor product of the induced metric on the cotangent bundle from some metric on $M$.

Does the tensor bundle of a compact manifold have a bounded geometry?

Let $M$ be a compact manifold. Let $S^2 T^*M $ be the vector bundle of all symmetric $(0,2)$ tensors and $S_+^2 T^*M$ be the open subset of all positive definite ones. Does $S_+^2 T^*M $ have bounded geometry? It is understood that the metric on it is the tensor product of the induced metric on the cotangent bundle from some Riemannian metric on $M$.

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Ben McKay
Ben McKay
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Let M$M$ be a compact manifold. Let $ S^2 T^*M $$S^2 T^*M $ be vector bundle of all symmetric (0,2)$(0,2)$ tensors and $ S_+^2 T^*M $$S_+^2 T^*M$ the open subset of all the positive definite ones. Does $ S_+^2 T^*M $ has a$S_+^2 T^*M $ have bounded geometry? It is understood that the metric on it is the tensor product of the induced metric on the cotangent bundle from asome metric on M$M$.

Let M be a compact manifold. Let $ S^2 T^*M $ be vector bundle of all symmetric (0,2) tensors and $ S_+^2 T^*M $ the open subset of all the positive ones. Does $ S_+^2 T^*M $ has a bounded geometry? It is understood that metric on it is the tensor product of induced metric on cotangent bundle from a metric on M.

Let $M$ be a compact manifold. Let $S^2 T^*M $ be vector bundle of all symmetric $(0,2)$ tensors and $S_+^2 T^*M$ the open subset of all the positive definite ones. Does $S_+^2 T^*M $ have bounded geometry? It is understood that the metric on it is the tensor product of the induced metric on the cotangent bundle from some metric on $M$.

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Kaveh
Kaveh
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Does the tensor bundle of a compact manifold have a bonded geometry?

Let M be a compact manifold. Let $ S^2 T^*M $ be vector bundle of all symmetric (0,2) tensors and $ S_+^2 T^*M $ the open subset of all the positive ones. Does $ S_+^2 T^*M $ has a bounded geometry? It is understood that metric on it is the tensor product of induced metric on cotangent bundle from a metric on M.