On the brouwer degrees of some maps of compact symmetric spaces
✍ Scribed by Shôrô Araki
- Publisher
- Elsevier Science
- Year
- 1965
- Tongue
- English
- Weight
- 628 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0040-9383
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let M be a compact, connected, oriented Riemannian manifold. Hermite functions on M are defined in terms of the heat kernel, and the existence of an asymptotic expansion of these functions in powers of √ t is established for small time. In the case where M is a compact symmetric space, the asymptoti
We study the Segal Bargmann transform on a symmetric space X of compact type, mapping L 2 (X ) into holomorphic functions on the complexification X C . We invert this transform by integrating against a ``dual'' heat kernel measure in the fibers of a natural fibration of X C over X. We prove that the
Let k ≥ 2, be an integer and M be a closed two-manifold with Euler characteristic χ(M) ≤ 0. We prove that each polyhedral map G on M, which has at least (8k 2 + 6k -6)|χ (M)| vertices, contains a connected subgraph H of order k such that every vertex of this subgraph has, in G, the degree at most 4k
We give two equivalent analytic continuations of the Minakshisundaram᎐Pleijel Ž . zeta function z for a Riemannian symmetric space of the compact type of U r K rank one UrK. First we prove that can be written as Ž . function for GrK the noncompact symmetric space dual to UrK , and F z is an Ž Ž . .