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...Ucci |first=John James |year=1965 |title=Immersions and embeddings of Dold manifolds |url=https://core.ac.uk/download/pdf/82435349.pdf |journal=[[Topology (jour [[Category:Manifolds]] ...

...nt union of manifolds. The ring is [[graded ring|graded]] by dimensions of manifolds and is denoted by ...y <math>\Omega^O_*</math>. If ''O'' is replaced ''U'', then one gets the [[complex cobordism ring]], oriented or unoriented. ...

If <math>X</math> is a [[complex manifold]], and the Hermitian vector bundle <math>E</math> on <math>X</math * Shiing-Shen Chern, ''Complex Manifolds Without Potential Theory''. ...

...med after [[Eugenio Calabi]] and [[Beno Eckmann]], is a [[Complex manifold|complex]], [[Homogeneous space|homogeneous]], non-[[Kähler manifold]], homeomorphic ...th>. Since ''M'' is a quotient space of a holomorphic action, it is also a complex manifold. It is obviously homogeneous, with a transitive holomorphic actio ...

...mathematics)|fixed points]] of a holomorphic [[vector field]] of a compact complex manifold to a sum over its [[Dolbeault cohomology]] groups. If ''f'' is an [[automorphism]] of a compact complex manifold ''M'' with isolated fixed points, then ...

{{short description|Space formed by the ''n''-tuples of complex numbers}} ...and is the ''n''-fold [[Cartesian product]] of the [[complex line]] <math>\Complex</math> with itself. Symbolically, ...

...nifold|Hermitian metric]] relative to the [[Almost complex manifold|almost-complex structure]] <math>\varphi_p\big\vert_{\ker \left(\eta_p\right)}.</math> One ...=Blair|first1=David E.|title=Riemannian geometry of contact and symplectic manifolds|edition=Second edition of 2002 original|series=Progress in Mathematics|volu ...

...first3=Shing Tung | title=The Poincaré–Lelong equation on complete Kähler manifolds | url=http://www.numdam.org/item?id=CM_1981__44_1-3_183_0 |mr=662462 | year [[Category:Complex manifolds]] ...

{{confuse|Behnke–Stein theorem on Stein manifolds}} In mathematics, especially [[Function of several complex variables|several complex variables]], the '''Behnke–Stein theorem''' states that a union of an incre ...

...ll-behaved]] functions cannot have certain kinds of well-behaved invariant manifolds. Invariant manifolds typically appear as solutions of certain asymptotic problems in [[dynamical ...

...ifold''' is an [[almost Hermitian manifold]] <math>M</math>, with [[almost complex structure]] <math> J</math>, ...he familiar almost complex structure on the six-sphere is not induced by a complex atlas on <math>S^6</math>. ...

...valid; more precisely, one whose singular chain complex forms a [[Poincaré complex]] with respect to the distinguished element ''μ''. Poincaré spaces are used in [[surgery theory]] to analyze and classify manifolds. Not every Poincaré space is a manifold, but the difference can be studied, ...

...p.com/product/9780198503620.do|title=Harmonic Morphisms Between Riemannian Manifolds|work=Oxford University Press}}</ref> == Complex analysis == ...

...s there are various types of manifolds, there are various types of maps of manifolds. ...DIFF]], the category of [[piecewise]]-smooth maps between piecewise-smooth manifolds. ...

....ed.ac.uk/~aar/papers/milncycl.pdf|publisher=Conference on the Topology of Manifolds. Vol. 13. 1968.|accessdate=25 August 2017}}</ref> ...he basis for a cyclic cover. A [[line bundle]] over a [[Projective variety|complex projective variety]] with [[Torsion tensor|torsion]] index <math>r</math> m ...

...b{H}^n</math>, [[complex projective space]]s <math>\mathbb{CP}^n</math>, [[complex hyperbolic space]]s <math>\mathbb{CH}^n</math>, [[quaternionic projective s ''Clifford structures'' are fundamental in studying Osserman manifolds. An [[Riemann curvature tensor|algebraic curvature tensor]] <math>R</math> ...

...is the intersection of a small sphere around the origin with the singular, complex hypersurface Brieskorn manifolds give examples of [[exotic sphere]]s,<ref>{{Cite journal |last1=Greuel |firs ...

...pace|simply-connected]] and has the integral cohomology structure of the [[complex projective plane]] <math>\mathbb{CP}^2</math> (<math>n = 4</math>), of the These manifolds are important in both [[Morse theory]] and [[foliation|foliation theory]]: ...

...nabla</math>''' is the unique [[connection (mathematics)|connection]] on a complex [[Hermitian manifold]] that satisfies the following conditions, # It preserves the complex structure <math>\nabla J=0</math> ...

...ty Press]]|isbn=9781400858682|pages=68|language=en}}</ref> Given a compact complex manifold ''M'' with a [[holomorphic line bundle]] ''F'' over ''M'', the Nak ...zuki|publisher=Kinokuniya|chapter=Vanishing theorems for weakly 1-complete manifolds|pages=169&ndash;179}} ...