Some works on differential geometry
نویسندگان
چکیده
منابع مشابه
global results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
A Remark on ’some Numerical Results in Complex Differential Geometry’
In order to find explicit numerical approximation of Kähler-Einstein metric of projective manifolds, Donaldson introduced in [3] various operators with good properties to approximate classical operators. See the discussions in Section 4.2 of [3] for more details related to our discussion. In this note we verify certain statement of Donaldson about the operator QK in Section 4.2 by using the ful...
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The general setting here is that one would like to understand the classification of manifolds, and related objects such as knots in 3-space. The “classification”means up to an appropriate equivalence, and for definiteness we will consider smooth (i.e. differentiable) manifolds up to diffeomorphism (equivalence by differentiable homeomorphisms). Of course, what one really seeks is an understandi...
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Part 1. Geometry of Curves We assume that we are given a parametric space curve of the form (1) x(u) = x 1 (u) x 2 (u) x 3 (u) u 0 ≤ u ≤ u 1 and that the following derivatives exist and are continuous (2) x (u) = dx du x (u) = d 2 x du 2 1. Arc Length The total arc length of the curve from its starting point x(u 0) to some point x(u) on the curve is defined to be (3) s(u) = u u 0 √ x ·x...
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librium and of natural systems (whether physical or economic) and collated with the very general viewpoint of Roy ce and of C. S. Peirce (whose maturer work Keynes does not cite), might be worthy of at least a bibliographic reference by an author who is setting up a category of probability. However, it would be unreasonable to expect any discussion of categories to reach nearer the date of issu...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1962
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1962.100510