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Spectrum of the Schrödinger Operator on a Complete Manifold

✍ Scribed by S. Nayatani; H. Urakawa

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
595 KB
Volume
112
Category
Article
ISSN
0022-1236

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✦ Synopsis

The spectrum and essential spectrum of the Schrödinger operator (A+V) on a complete manifold are studied. As applications, we determine the index of the catenoid of any dimension and the essential spectrum for several minimal submanifolds in the Euclidean space of the Jacobi operator arising from the second variation for the volume of minimal submanifolds. I" 1993 Academic Press. Inc.

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