On realization of gradient-like flows in projective-like manifolds

Student: Ivanov Artem

Faculty: Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2020

The main hypothesis of the paper is the fact that on the projective-like manifold can exist the gradient-like flow with any amount of saddle points with Morse’s index n/2. This fact has not ever been proved earlier, therefore we will prove it using the different technologies of gluing handles and gluing of different manifolds according to a neatly chosen diffeomorphism.

Student Theses at HSE must be completed in accordance with the University Rules and regulations specified by each educational programme.

Summaries of all theses must be published and made freely available on the HSE website.

The full text of a thesis can be published in open access on the HSE website only if the authoring student (copyright holder) agrees, or, if the thesis was written by a team of students, if all the co-authors (copyright holders) agree. After a thesis is published on the HSE website, it obtains the status of an online publication.

Student theses are objects of copyright and their use is subject to limitations in accordance with the Russian Federation’s law on intellectual property.

In the event that a thesis is quoted or otherwise used, reference to the author’s name and the source of quotation is required.

Search all student theses