On some new spectral estimates for Schrödinger-like operators

2006 ◽  
Vol 4 (1) ◽  
pp. 123-137 ◽  
Author(s):  
Daniel Levin
Keyword(s):  
Wide Class ◽  
Warped Product ◽  
Schrödinger Operators ◽  
Elliptic Operators ◽  
Second Order ◽  
Sobolev Inequalities ◽  
Product Spaces ◽  
Spectral Estimates ◽  
Second Order Elliptic Operators ◽  
Warped Product Spaces

AbstractWe prove the analog of the Cwikel-Lieb-Rozenblum estimate for a wide class of second-order elliptic operators by two different tools: Lieb-Thirring inequalities for Schrödinger operators with matrix-valued potentials and Sobolev inequalities for warped product spaces.

scholarly journals Warped product spaces with Ricci conditions

2017 ◽  
Vol 41 ◽  
pp. 1365-1375
Author(s):  
Sang Deok LEE ◽  
Byung Hak KIM ◽  
Jin Hyuk CHOI
Keyword(s):  
Warped Product ◽  
Product Spaces ◽  
Warped Product Spaces

scholarly journals Geodesic motion in the neighbourhood of submanifolds embedded in warped product spaces

2008 ◽  
Vol 40 (6) ◽  
pp. 1341-1351 ◽  
Author(s):  
Fábio Dahia ◽  
Carlos Romero ◽  
Lúcio F. P. da Silva ◽  
Reza Tavakol
Keyword(s):  
Warped Product ◽  
Geodesic Motion ◽  
Product Spaces ◽  
Warped Product Spaces
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