منابع مشابه
Lower bounds for warping functions on warped-product AHE manifolds
Let [γ] be the conformal boundary of a warped product C3,α AHE metric g = gM +u 2h on N = M×F , where (F, h) is compact with unit volume and nonpositive curvature. We show that if [γ] has positive Yamabe constant, then u has a positive lower bound that depends only on [γ].
متن کاملWarped Products Admitting a Curvature Bound
Warped products provide perhaps the major source of examples and counterexamples in metric and Riemannian geometry. Sufficient conditions for a warped product B×f F to have a curvature bound in the sense of Alexandrov, either above or below, are found in [AB 04]. Given the importance of warped products, we want to know if all the known sufficient conditions are needed. Here we prove their neces...
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The product sμsν of two Schur functions is one of the most famous examples of a Schur-positive function, i.e. a symmetric function which, when written as a linear combination of Schur functions, has all positive coefficients. We ask when expressions of the form sλsρ − sμsν are Schur-positive. This general question seems to be a difficult one, but a conjecture of Fomin, Fulton, Li and Poon says ...
متن کاملWarped Products and Conformal Boundaries of Cat(0)-spaces
We discuss the conformal boundary of a warped product of two length spaces and provide a method to calculate this in terms of the individual conformal boundaries. This technique is then applied to produce CAT(0)-spaces with complicated conformal boundaries. Finally we prove that the conformal boundary of an Hadamard n-manifold is always simply connected for n ≥ 3, thus providing a bound for the...
متن کاملA Ddvv Inequality for Submanifolds of Warped Products
We prove a DDVV inequality for submanifolds of warped products of the form I ×a Mn(c) where I is an interval and Mn(c) a real space form of curvature c . As an application, we give a rigidity result for submanifolds of R×eλt Hn(c). RÉSUMÉ. Une inégalité de type DDVV pour les sous-variétés des produits tordus. Nous donnons une inégalité de type DDVV pour les sous-variétés des produits tordus de ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2014
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2013.11.040