<em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

    <em id="zlul0"></em>

      <dl id="zlul0"></dl>
        <div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
        <em id="zlul0"></em>

        <div id="zlul0"><ol id="zlul0"></ol></div>

        Stack Exchange Network

        Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

        Visit Stack Exchange

        Questions tagged [dg.differential-geometry]

        Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

        1
        vote
        0answers
        34 views

        A non-vanishing vector field on $S^3$ whose flow does not preserve any transversal foliation

        Is there a non-vanishing vector field $X$ on $S^3$ which does not admit a transversal $2$-dimensional foliation? if the answer is negative, is there a non-vanishing vector field $X$ on $S^3$ which ...
        2
        votes
        0answers
        60 views

        Irrational closed orbits of vector fields on $S^2$ (Limit cycles and trace formula)

        Motivations: We first introduce our motivations: We wish to find an operator-theoretical interpretation for the number of limit cycles of a polynomial vector field on the plane. Via Poincaré ...
        2
        votes
        1answer
        62 views

        Projection of an invariant almost complex structure to a non-integrable one

        My apologies in advance if my question is obvious or elementary. We identify elements of $S^3$ with their quaternion representation $x_1 + x_2i + x_3j + x_4k$. We consider two independent vector ...
        -2
        votes
        0answers
        41 views

        Radius of curvature question [on hold]

        Im trying to figure out an equation from geometric geodesy. But doing the derivation of that equation results in a different equation then the one from the literature. Its the (1-e^2). I constantly ...
        1
        vote
        0answers
        52 views

        Existence of nonparabolic ends

        Let $M$ a nonparabolic Riemannian manifold. If exists only one nonparabolic end $E$. We would like to know why the subspace of space of bounded harmonic functions with finite Dirichlet integral is the ...
        3
        votes
        0answers
        96 views

        Asymptotic bound on minimum epsilon cover of arbitrary manifolds

        Let $M \subset \mathbb{R}^d$ be a compact smooth $k$-dimensional manifold embedded in $\mathbb{R}^d$. Let $\mathcal{N}(\varepsilon)$ denote the minimal cardinal of an $\varepsilon$-cover $P$ of $M$; ...
        6
        votes
        0answers
        89 views

        Hermitian sectional curvature

        Let $N$ be a Riemannian manifold, denote $R$ its purely covariant Riemann curvature tensor with sign convention so that the sectional curvature is $K(X,Y) = R(X,Y,X,Y)$ for an orthonormal pair. ...
        1
        vote
        0answers
        67 views

        Subdividing a Compact Bounded Curvature Manifold into Charts with Bounded Lipschitz Constant

        Let $M \subset \mathbb{R}^d$ be a compact smooth $k$-dimensional manifold embedded in $\mathbb{R}^d$. Let $\mathcal{N}(\epsilon)$ denote the size of the minimum $\epsilon$ cover $P$ of $M$; that is ...
        3
        votes
        1answer
        74 views

        Isomorphism between the hyperbolic space and the manifold of SPD matrices with constant determinant

        I'm studying properties of the manifold of symmetric positive-definite (SPD) matrices and I've learnt about the following connection to the hyperbolic space [1, Section 2.2], $$\mathcal{P}(n) = \...
        1
        vote
        0answers
        85 views

        Counting fixed points for Hamiltonian symplectomorphisms on $T^{2}$

        This question is motivated by the Lorenz curve used in economic analysis and also the Penrose diagram used in general relativity, used by physicists in order to visualise causal relationships in ...
        3
        votes
        1answer
        88 views

        Reduction of the structure group of $\mathbb{R}^n$-fiber bundles to a special subgroup of $\mathrm{Homeo}(\mathbb{R}^n)$

        Let $G$ be the group of all self-homeomorphisms $f$ of $\mathbb{R}^n$ which satisfy $$f(x+m)=f(x)+m,\quad \forall m\in \mathbb{Z}^n.$$ In other words, $G$ is the group of all equivariant self-...
        4
        votes
        0answers
        60 views

        Is there a representation theoretic way to define the pullback of densities and differential forms?

        I find it convenient to define the bundle of densities of weight $\alpha$,say $\Omega_\alpha(M)$ over a smooth manifold $M$ as the associated vector bundle of the frame bundle $F(M)$ with the ...
        4
        votes
        0answers
        123 views

        On the definition of the Reeb foliation

        To define the Reeb foliation on the sphere, one needs to fix two even functions of the from $f:(-1,1)\to\mathbb{R}$. In the book I. Tamura, Topology of Foliations: An Introduction, the following is ...
        1
        vote
        0answers
        47 views

        Foliations with algebraic foliation chart

        An algebraic foliation chart for a foliated manifold is a foliation chart for which the transition maps are polynomial maps. What is an example of an analytic foliation of the Euclidean space $\...
        0
        votes
        0answers
        121 views

        Why not hermitian metrics on the tangent bundle?

        Let $(M,J)$ be an almost complex manifold. Then $TM$ is naturally a complex vector bundle. Hence it makes sense to consider a hermitian metric $h: TM \otimes \overline{TM} \rightarrow \mathbb{C}$, ...

        15 30 50 per page
        山西福彩快乐十分钟
          <em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

          <em id="zlul0"></em>

            <dl id="zlul0"></dl>
              <div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
              <em id="zlul0"></em>

              <div id="zlul0"><ol id="zlul0"></ol></div>
                <em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

                <em id="zlul0"></em>

                  <dl id="zlul0"></dl>
                    <div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
                    <em id="zlul0"></em>

                    <div id="zlul0"><ol id="zlul0"></ol></div>
                    迷你世界激活码大全 蒙彼利埃三大语言学校怎样样 pk10不管怎么玩都是输 幸运飞艇app苹果版 英雄联盟歌曲 上海上港蔚山现代首发 热那亚vs锡耶纳视频 逆水寒官网 富勒姆大名单 舞龙国画