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Geometry and Analysis on Manifolds - In Memory of Professor Shoshichi Kobayashi (Hardcover, 2015 ed.): Takushiro Ochiai,... Geometry and Analysis on Manifolds - In Memory of Professor Shoshichi Kobayashi (Hardcover, 2015 ed.)
Takushiro Ochiai, Toshiki Mabuchi, Yoshiaki Maeda, Junjiro Noguchi, Alan Weinstein
R3,914 Discovery Miles 39 140 Ships in 12 - 17 working days

This volume is dedicated to the memory of Shoshichi Kobayashi, and gathers contributions from distinguished researchers working on topics close to his research areas. The book is organized into three parts, with the first part presenting an overview of Professor Shoshichi Kobayashi's career. This is followed by two expository course lectures (the second part) on recent topics in extremal Kahler metrics and value distribution theory, which will be helpful for graduate students in mathematics interested in new topics in complex geometry and complex analysis. Lastly, the third part of the volume collects authoritative research papers on differential geometry and complex analysis. Professor Shoshichi Kobayashi was a recognized international leader in the areas of differential and complex geometry. He contributed crucial ideas that are still considered fundamental in these fields. The book will be of interest to researchers in the fields of differential geometry, complex geometry, and several complex variables geometry, as well as to graduate students in mathematics.

Einstein Metrics and Yang-Mills Connections - proceedings of the 27th Taniguchi international symposium (Hardcover): Toshiki... Einstein Metrics and Yang-Mills Connections - proceedings of the 27th Taniguchi international symposium (Hardcover)
Toshiki Mabuchi
R6,270 Discovery Miles 62 700 Ships in 12 - 17 working days

This volume contains papers presented at the 27th Taniguchi International Symposium, held in Sanda, Japan - focusing on the study of moduli spaces of various geometric objects such as Einstein metrics, conformal structures, and Yang-Mills connections from algebraic and analytic points of view.;Written by over 15 authorities from around the world, Einstein Metrics and Yang-Mills Connections...: discusses current topics in Kaehler geometry, including Kaehler-Einstein metrics, Hermitian-Einstein connections and a new Kaehler version of Kawamata-Viehweg's vanishing theorem; explores algebraic geometric treatments of holomorphic vector bundles on curves and surfaces; addresses nonlinear problems related to Mong-Ampere and Yamabe-type equations as well as nonlinear equations in mathematical physics; and covers interdisciplinary topics such as twistor theory, magnetic monopoles, KP-equations, Einstein and Gibbons-Hawking metrics, and supercommutative algebras of superdifferential operators.;Providing a wide array of original research articles not published elsewhere Einstein Metrics and Yang-Mills Connections is for research mathematicians, including topologists and differential and algebraic geometers, theoretical physicists, and graudate-level students in these disciplines.

Einstein Metrics and Yang-Mills Connections - proceedings of the 27th Taniguchi international symposium (Paperback): Toshiki... Einstein Metrics and Yang-Mills Connections - proceedings of the 27th Taniguchi international symposium (Paperback)
Toshiki Mabuchi
R6,118 Discovery Miles 61 180 Ships in 12 - 17 working days

This volume contains papers presented at the 27th Taniguchi International Symposium, held in Sanda, Japan - focusing on the study of moduli spaces of various geometric objects such as Einstein metrics, conformal structures, and Yang-Mills connections from algebraic and analytic points of view.;Written by over 15 authorities from around the world, Einstein Metrics and Yang-Mills Connections...: discusses current topics in Kaehler geometry, including Kaehler-Einstein metrics, Hermitian-Einstein connections and a new Kaehler version of Kawamata-Viehweg's vanishing theorem; explores algebraic geometric treatments of holomorphic vector bundles on curves and surfaces; addresses nonlinear problems related to Mong-Ampere and Yamabe-type equations as well as nonlinear equations in mathematical physics; and covers interdisciplinary topics such as twistor theory, magnetic monopoles, KP-equations, Einstein and Gibbons-Hawking metrics, and supercommutative algebras of superdifferential operators.;Providing a wide array of original research articles not published elsewhere Einstein Metrics and Yang-Mills Connections is for research mathematicians, including topologists and differential and algebraic geometers, theoretical physicists, and graudate-level students in these disciplines.

Geometry and Analysis on Manifolds - In Memory of Professor Shoshichi Kobayashi (Paperback, Softcover reprint of the original... Geometry and Analysis on Manifolds - In Memory of Professor Shoshichi Kobayashi (Paperback, Softcover reprint of the original 1st ed. 2015)
Takushiro Ochiai, Toshiki Mabuchi, Yoshiaki Maeda, Junjiro Noguchi, Alan Weinstein
R4,389 Discovery Miles 43 890 Ships in 10 - 15 working days

This volume is dedicated to the memory of Shoshichi Kobayashi, and gathers contributions from distinguished researchers working on topics close to his research areas. The book is organized into three parts, with the first part presenting an overview of Professor Shoshichi Kobayashi's career. This is followed by two expository course lectures (the second part) on recent topics in extremal Kahler metrics and value distribution theory, which will be helpful for graduate students in mathematics interested in new topics in complex geometry and complex analysis. Lastly, the third part of the volume collects authoritative research papers on differential geometry and complex analysis. Professor Shoshichi Kobayashi was a recognized international leader in the areas of differential and complex geometry. He contributed crucial ideas that are still considered fundamental in these fields. The book will be of interest to researchers in the fields of differential geometry, complex geometry, and several complex variables geometry, as well as to graduate students in mathematics.

Test Configurations, Stabilities and Canonical Kahler Metrics - Complex Geometry by the Energy Method (Paperback, 1st ed.... Test Configurations, Stabilities and Canonical Kahler Metrics - Complex Geometry by the Energy Method (Paperback, 1st ed. 2021)
Toshiki Mabuchi
R1,829 Discovery Miles 18 290 Ships in 10 - 15 working days

The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However, this conjecture is still open for general polarizations or more generally in extremal Kahler cases. In this book, the unsolved cases of the conjecture will be discussed.It will be shown that the problem is closely related to the geometry of moduli spaces of test configurations for polarized algebraic manifolds. Another important tool in our approach is the Chow norm introduced by Zhang. This is closely related to Ding's functional, and plays a crucial role in our differential geometric study of stability. By discussing the Chow norm from various points of view, we shall make a systematic study of the existence problem of extremal Kahler metrics.

Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday (Hardcover): Toshiki Mabuchi, J.... Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday (Hardcover)
Toshiki Mabuchi, J. Noguchi, T. Ochiai
R1,803 Discovery Miles 18 030 Out of stock

This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.The principal theme of this volume is "Geometry and Analysis on Complex Manifolds". It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, Kahler metrics and Einstein-Hermitian metrics, geometric function theory in several complex variables, and symplectic or non-Kahler geometry on complex manifolds. These are areas in which Professor Kobayashi has made strong impact and is continuing to make many deep invaluable contributions.

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