scholarly journals The Atiyah–Singer index theorem

2021 ◽  
pp. 1
Author(s):  
Daniel S. Freed
Keyword(s):  
Index Theorem

scholarly journals Index theorem on T2/ZN orbifolds

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Makoto Sakamoto ◽  
Maki Takeuchi ◽  
Yoshiyuki Tatsuta
Keyword(s):  
Index Theorem

scholarly journals An index theorem for super derivations

1989 ◽  
Vol 125 (1) ◽  
pp. 147-152
Author(s):  
Arthur Jaffe ◽  
Andrzej Lesniewski
Keyword(s):  
Index Theorem

Bundles over Quantum Sphere and Noncommutative Index Theorem

K-Theory ◽  
2000 ◽  
Vol 21 (2) ◽  
pp. 141-150 ◽  
Author(s):  
Piotr M. Hajac
Keyword(s):  
Index Theorem ◽  
Quantum Sphere

A local index theorem for non K�hler manifolds

1989 ◽  
Vol 284 (4) ◽  
pp. 681-699 ◽  
Author(s):  
Jean-Michel Bismut
Keyword(s):  
Index Theorem ◽  
Local Index ◽  
Local Index Theorem

scholarly journals Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Meiqiang Feng
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Type Equation ◽  
Index Theorem ◽  
Rayleigh Equation ◽  
Deviating Arguments ◽  
Nontrivial Periodic Solutions ◽  
Existence Of Periodic Solutions

The Rayleigh equation with two deviating argumentsx′′(t)+f(x'(t))+g1(t,x(t-τ1(t)))+g2(t,x(t-τ2(t)))=e(t)is studied. By using Leray-Schauder index theorem and Leray-Schauder fixed point theorem, we obtain some new results on the existence of periodic solutions, especially for the existence of nontrivial periodic solutions to this equation. The results are illustrated with two examples, which cannot be handled using the existing results.

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