Thom Research Statement

On the First Integral Conjecture of René Thom Jacky CRESSON , Aris DANIILIDIS & Masahiro SHIOTA

More than half a century ago R. Thom asserted in an unpublished manuscript that, generically, vector fields on compact connected smooth manifolds without boundary can admit only trivial continuous first integrals. Though somehow unprecise for what concerns the interpretation of the word “generically”, this statement is ostensibly true and is nowadays commonly accepted. On the other hand, the (f...

2 00 7 On the First Integral Conjecture of René Thom

More than half a century ago R. Thom asserted in an unpublished manuscript that, generically, vector fields on compact connected smooth manifolds without boundary can admit only trivial continuous first integrals. Though somehow unprecise for what concerns the interpretation of the word “generically”, this statement is ostensibly true and is nowadays commonly accepted. On the other hand, the (f...

Proof of the gradient conjecture of R . Thom

Let x(t) be a trajectory of the gradient of a real analytic function and suppose that x0 is a limit point of x(t). We prove the gradient conjecture of R. Thom which states that the secants of x(t) at x0 have a limit. Actually we show a stronger statement: the radial projection of x(t) from x0 onto the unit sphere has finite length.

بررسی پایداری سمیت نه حشره کش بر اساس تلفات زنبور (Trissolcus grandis ( Thom.) ( Hym.; Scelionidae

تأثیرچند حشره‎کش فسفره و پایرتروئیدی روی مراحل مختلف رشدی زنبور پارازیتوئید تخم سن گندم Trissolcus grandis (Thom.) (Hymenoptera: Scelionidae)

The egg parasitoids are the major natural enemies of sunn pest and application of selective insecticides is one of the strategies for conservation of natural enemies. The toxicity of five different insecticides used in cereal fields to the parasitized eggs was investigated under laboratory conditions. The insecticide solutions were made based on the recommended field rates. 3-, 5- and 8- day -o...