> supposed to be a sign for a coming recession. But I don't get why a lot of pundits say that it also mean deflation is coming and totally rule out a longer time of inflation
Inflation and deflation are tied to recessions because less economic activity, meaning lower demand for goods and services, leaves companies with surplus goods. To make up for the excess in supply and stimulate demand, they'll deflate the prices. At least that is conventional wisdom.
There are a lot of variables that go into bond rates (much more so the back end of the yeild curve); current central bank rates, expected central bank rates, inflation, credit, etc. In the investor pool you have a lot of different parties with different motivations; pensions, governments, corporates, short term traders etc. Add to these factors the insane amount of liquidity and changes to the yield curve do have some meaning.