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...download/pdf/82435349.pdf |journal=[[Topology (journal)|Topology]] |volume=4 |issue=3 |pages=283–293 |doi=10.1016/0040-9383(65)90012-1|mr=0187250 }}</re [[Category:Manifolds]] ...

...cation in pure mathematics is Morse theory on manifolds with boundary, and manifolds with corners. ...rst=D. |last=Handron |title=Generalized billiard paths and Morse theory on manifolds with corners |journal=Topology and Its Applications |volume=126 |issue=1 |p ...

...] that cannot be expressed as a non-trivial [[connected sum]] of two ''n''-manifolds. Non-trivial means that neither of the two is an [[n-sphere|''n''-sphere]]. ...nected sum of a unique ([[up to]] [[homeomorphism]]) collection of prime 3-manifolds. ...

...metry and 3-manifold topology|pages=73–103|mr=2503493|isbn=978-0-8218-4766-4}} * {{Citation|last1=Tucker|first1=Thomas W.|title=Non-compact 3-manifolds and the missing-boundary problem|doi=10.1016/0040-9383(74)90019-6|year=1974 ...

...n, specializing in low-dimensional [[geometric topology]] (specifically of 4-[[manifold]]s) and the mathematics of [[gauge theory]]. ...Binghamton]] with thesis ''Orbit maps of local <math>S^1</math>-actions on manifolds of dimension less than five '' under the supervision of Louis McAuley.<ref> ...

...ly, non Kählerian nearly Kähler manifolds are called "strict nearly Kähler manifolds". Nearly Kähler manifolds, also known as almost Tachibana manifolds, were studied by Shun-ichi Tachibana in 1959<ref> ...

...journal |author=Y. Nikolayevsky |year=2003 |title=Two theorems on Osserman manifolds |journal=Differential Geometry and Its Applications |volume=18 |issue=3 |pa ''Clifford structures'' are fundamental in studying Osserman manifolds. An [[Riemann curvature tensor|algebraic curvature tensor]] <math>R</math> ...

...\R^n</math> by a [[sphere]] of dimension <math>n/2</math>, where <math>n=2,4,8</math>, or <math>16</math>. It is named after [[James Eells]] and [[Nicol ...of the [[complex projective plane]] <math>\mathbb{CP}^2</math> (<math>n = 4</math>), of the [[quaternionic projective space|quaternionic projective pla ...

...ption|A special symmetric bilinear form on the 2nd (co)homology group of a 4-manifold}} ...logy group]] of the 4-manifold. It reflects much of the topology of the 4-manifolds, including information on the existence of a [[smooth structure]]. ...

{{Short description|Way to create new manifolds out of disk bundles}} ...ame=":0" /> and subsequently used extensively in surgery theory to produce manifolds and [[normal invariant|normal map]]s with given [[surgery obstruction]]s. ...

...concept which helps to answer the question whether two homotopy equivalent manifolds are [[diffeomorphic]] (or [[Piecewise linear manifold|PL-homeomorphic]] or ...We call two homotopy equivalences <math>f_i: M_i \to X</math> from closed manifolds <math>M_i</math> of dimension <math>n</math> to <math>X</math> (<math>i=0,1 ...

...st1=R. J. |last2=Rossetti |first2=J. P. |title=Isospectral Hantzsche-Wendt manifolds |journal=Journal für die reine und angewandte Mathematik (Crelle's Journal) ...le one (the Hantzsche–Wendt manifold), there are two non-orientable flat 3-manifolds with holonomy group <math>\mathbb{Z}_2^2</math>, known as the '''first''' a ...

of orientable arithmetic hyperbolic 3-manifolds, where <math>\zeta_k</math> is the [[Dedekind zeta function|zeta function]] ...positive imaginary part) of the [[quartic function|quartic]] <math>\theta^4+\theta-1=0</math>. ...

...the discussion here to smooth (real) manifolds. A restriction to complex manifolds is also possible. ...'' in ''U'' is analytic. Now ''U'' together with the [[Intersection form (4-manifold)|intersection form]] ''g''&nbsp;=&nbsp;&lt;·,·&gt; is a (complex) ...

...Scorpan, The wild world of 4-manifolds (p.90), AMS Pub. {{isbn|0-8218-3749-4}}</ref> ...rst2=Rostislav| last2=Matveyev| title=A convex decomposition theorem for 4-manifolds|journal= [[International Mathematics Research Notices]] |year=1998|volume=1 ...

...p.com/product/9780198503620.do|title=Harmonic Morphisms Between Riemannian Manifolds|work=Oxford University Press}}</ref> ...e families of [[minimal surface]]s in 4-dimensional [[manifold]]s <math>(M^4,g)</math>, in particular, [[homogeneous spaces]], such as [[Lie group]]s ...

...unction|smooth]] [[Isometry (Riemannian geometry)|isometry]] of Riemannian manifolds. A simpler proof was subsequently given by [[Richard Palais]] in 1957. The ....jstor.org/stable/1969226 |journal=Annals of Mathematics |volume=47 |issue=4 |pages=639–653 |doi=10.2307/1969226 |jstor=1969226 |issn=0003-486X}}</ref> ...

...ndash;Thorpe inequality''' is a relation which restricts the topology of [[4-manifold]]s that carry an [[Einstein manifold|Einstein metric]]. ...e journal |first=N. |last=Hitchin |title=Compact four-dimensional Einstein manifolds |journal=J. Diff. Geom. |volume=9 |issue=3 |year=1974 |pages=435–442 |doi=1 ...

{{Short description|Extends Poincaré duality beyond oriented manifolds}} ...e=82|publisher= Springer-Verlag|location= New York-Berlin|isbn=0-387-90613-4|doi=10.1007/978-1-4757-3951-0|mr=0658304}} ...

...onic projective space]] which should clearly be considered as quaternionic manifolds. ...te journal |first=Vivian Yoh |last=Kraines |title=Topology of quaternionic manifolds |journal= Transactions of the American Mathematical Society |volume=122 |is ...