Cohomological Aspects in Complex Non-Kähler Geometry

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Geometry
Cover of the book Cohomological Aspects in Complex Non-Kähler Geometry by Daniele Angella, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Daniele Angella ISBN: 9783319024417
Publisher: Springer International Publishing Publication: November 22, 2013
Imprint: Springer Language: English
Author: Daniele Angella
ISBN: 9783319024417
Publisher: Springer International Publishing
Publication: November 22, 2013
Imprint: Springer
Language: English

In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure.

On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds that do not have any Kähler structure.

We focus in particular on studying Bott-Chern and Aeppli cohomologies of compact complex manifolds. Several results concerning the computations of Dolbeault and Bott-Chern cohomologies on nilmanifolds are summarized, allowing readers to study explicit examples. Manifolds endowed with almost-complex structures, or with other special structures (such as, for example, symplectic, generalized-complex, etc.), are also considered.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure.

On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds that do not have any Kähler structure.

We focus in particular on studying Bott-Chern and Aeppli cohomologies of compact complex manifolds. Several results concerning the computations of Dolbeault and Bott-Chern cohomologies on nilmanifolds are summarized, allowing readers to study explicit examples. Manifolds endowed with almost-complex structures, or with other special structures (such as, for example, symplectic, generalized-complex, etc.), are also considered.

More books from Springer International Publishing

Cover of the book Recent Advances in Information and Communication Technology 2017 by Daniele Angella
Cover of the book Organometallic Fluorine Chemistry by Daniele Angella
Cover of the book Social Costs and Benefits of Renewable Electricity Generation in Cyprus by Daniele Angella
Cover of the book Ultrasonic Production of Nano-emulsions for Bioactive Delivery in Drug and Food Applications by Daniele Angella
Cover of the book The Lean Product Design and Development Journey by Daniele Angella
Cover of the book Digital Science by Daniele Angella
Cover of the book Algorithms and Complexity by Daniele Angella
Cover of the book Advances in Bio-Mechanical Systems and Materials by Daniele Angella
Cover of the book Small Incision Lenticule Extraction (SMILE) by Daniele Angella
Cover of the book Women and Leadership by Daniele Angella
Cover of the book Prostatitis and Its Management by Daniele Angella
Cover of the book Radiation Therapy for Liver Tumors by Daniele Angella
Cover of the book Data Mining and Big Data by Daniele Angella
Cover of the book Building Performance Evaluation by Daniele Angella
Cover of the book The Next Generation in Membrane Protein Structure Determination by Daniele Angella
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy